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10213310211132 = 22372172334385149
BaseRepresentation
bin1001010010011111100010…
…1110100010010000111100
31100011101100011000201110110
42110213320232202100330
52314313324403224012
633415532511110020
72102613230254500
oct224477056422074
940141304021413
1010213310211132
113288493398906
12118b4a8b12310
13591159bb0b72
14274480c4a300
1512aa11b9373c
hex949f8ba243c

10213310211132 has 144 divisors (see below), whose sum is σ = 29478521872800. Its totient is φ = 2734648455168.

The previous prime is 10213310211131. The next prime is 10213310211133. The reversal of 10213310211132 is 23111201331201.

It is an interprime number because it is at equal distance from previous prime (10213310211131) and next prime (10213310211133).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10213310211099 and 10213310211108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213310211131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136494 + ... + 4521642.

It is an arithmetic number, because the mean of its divisors is an integer number (204711957450).

Almost surely, 210213310211132 is an apocalyptic number.

10213310211132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213310211132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14739260936400).

10213310211132 is an abundant number, since it is smaller than the sum of its proper divisors (19265211661668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10213310211132 is a wasteful number, since it uses less digits than its factorization.

10213310211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385420 (or 4385411 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10213310211132 its reverse (23111201331201), we get a palindrome (33324511542333).

The spelling of 10213310211132 in words is "ten trillion, two hundred thirteen billion, three hundred ten million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 233 238 294 357 466 476 588 699 714 833 932 1398 1428 1631 1666 2499 2796 3262 3332 3961 4893 4998 6524 7922 9786 9996 11417 11883 15844 19572 22834 23766 27727 34251 45668 47532 55454 68502 83181 110908 137004 166362 194089 332724 388178 582267 776356 1164534 2329068 4385149 8770298 13155447 17540596 26310894 30696043 52621788 61392086 74547533 92088129 122784172 149095066 184176258 214872301 223642599 298190132 368352516 429744602 447285198 521832731 644616903 859489204 894570396 1021739717 1043665462 1289233806 1565498193 2043479434 2087330924 2578467612 3065219151 3130996386 3652829117 4086958868 6130438302 6261992772 7152178019 7305658234 10958487351 12260876604 14304356038 14611316468 17369575189 21456534057 21916974702 28608712076 34739150378 42913068114 43833949404 50065246133 52108725567 69478300756 85826136228 100130492266 104217451134 121587026323 150195738399 200260984532 208434902268 243174052646 300391476798 364761078969 486348105292 600782953596 729522157938 851109184261 1459044315876 1702218368522 2553327552783 3404436737044 5106655105566 10213310211132