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10220332122 = 23271113243633
BaseRepresentation
bin10011000010010110…
…11110010001011010
3222101021100122222100
421201023132101122
5131412401111442
64410053104230
7511161250440
oct114113362132
928337318870
1010220332122
114375124880
121b92928076
13c6b543100
146cd518b90
153ec3d184c
hex2612de45a

10220332122 has 144 divisors (see below), whose sum is σ = 29895922368. Its totient is φ = 2450373120.

The previous prime is 10220332099. The next prime is 10220332139. The reversal of 10220332122 is 22123302201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10220332095 and 10220332104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212418 + ... + 256050.

It is an arithmetic number, because the mean of its divisors is an integer number (207610572).

Almost surely, 210220332122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220332122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14947961184).

10220332122 is an abundant number, since it is smaller than the sum of its proper divisors (19675590246).

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

10220332122 is a wasteful number, since it uses less digits than its factorization.

10220332122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43685 (or 43669 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10220332122 its reverse (22123302201), we get a palindrome (32343634323).

The spelling of 10220332122 in words is "ten billion, two hundred twenty million, three hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 169 182 198 231 234 273 286 338 429 462 507 546 693 819 858 1001 1014 1183 1287 1386 1521 1638 1859 2002 2366 2574 3003 3042 3549 3718 5577 6006 7098 9009 10647 11154 13013 16731 18018 21294 26026 33462 39039 43633 78078 87266 117117 130899 234234 261798 305431 392697 479963 567229 610862 785394 916293 959926 1134458 1439889 1701687 1832586 2748879 2879778 3359741 3403374 3970603 4319667 5105061 5497758 6239519 6719482 7373977 7941206 8639334 10079223 10210122 11911809 12479038 14747954 18718557 20158446 22121931 23823618 30237669 35735427 37437114 43676633 44243862 51617839 56155671 60475338 66365793 71470854 81113747 87353266 103235678 112311342 131029899 132731586 154853517 162227494 243341241 262059798 309707034 393089697 464560551 486682482 567796229 730023723 786179394 929121102 1135592458 1460047446 1703388687 3406777374 5110166061 10220332122