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10020000210012 = 223213237573122921
BaseRepresentation
bin1001000111001111011010…
…0011011001110001011100
31022110220101001011012011100
42101303312203121301130
52303131430023210022
633151042522553100
72052630642334422
oct221636643316134
938426331135140
1010020000210012
113213504996901
121159b39968790
13578b608a7910
14268d8346b112
1512599ac011ac
hex91cf68d9c5c

10020000210012 has 144 divisors (see below), whose sum is σ = 28466599307328. Its totient is φ = 2948616760320.

The previous prime is 10020000209987. The next prime is 10020000210013. The reversal of 10020000210012 is 21001200002001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10020000209976 and 10020000210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020000210013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81454312 + ... + 81577232.

It is an arithmetic number, because the mean of its divisors is an integer number (197684717412).

Almost surely, 210020000210012 is an apocalyptic number.

10020000210012 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 10020000210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14233299653664).

10020000210012 is an abundant number, since it is smaller than the sum of its proper divisors (18446599097316).

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

10020000210012 is a wasteful number, since it uses less digits than its factorization.

10020000210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130540 (or 130535 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020000210012 its reverse (21001200002001), we get a palindrome (31021200212013).

The spelling of 10020000210012 in words is "ten trillion, twenty billion, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 7573 10764 15146 22719 30292 45438 68157 90876 98449 122921 136314 174179 196898 245842 272628 295347 348358 368763 393796 491684 522537 590694 696716 737526 886041 1045074 1106289 1181388 1475052 1567611 1597973 1772082 2090148 2212578 2264327 2827183 3135222 3195946 3544164 4425156 4528654 4793919 5654366 6270444 6391892 6792981 8481549 9057308 9587838 11308732 13585962 14381757 16963098 19175676 20378943 25444647 27171924 28763514 33926196 36753379 40757886 50889294 57527028 73506758 81515772 101778588 110260137 147013516 220520274 330780411 441040548 661560822 930880733 1323121644 1861761466 2792642199 3723522932 5585284398 8377926597 11170568796 12101449529 16755853194 21410256859 24202899058 33511706388 36304348587 42820513718 48405798116 64230770577 72608697174 85641027436 108913045761 128461541154 145217394348 192692311731 217826091522 256923082308 278333339167 385384623462 435652183044 556666678334 770769246924 835000017501 1113333356668 1670000035002 2505000052503 3340000070004 5010000105006 10020000210012