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10100110020012 = 22321735237309667
BaseRepresentation
bin1001001011111001110101…
…1110000100110110101100
31022202120011000220012011100
42102332131132010312230
52310440011131120022
633251532042123100
72061465066436665
oct222763536046654
938676130805140
1010100110020012
113244483884851
1211715764b0490
135835896a945c
1426cbc2a2c36c
15127ad8b611ac
hex92f9d784dac

10100110020012 has 72 divisors (see below), whose sum is σ = 25683396940656. Its totient is φ = 3346592667264.

The previous prime is 10100110019981. The next prime is 10100110020029. The reversal of 10100110020012 is 21002001100101.

It is a happy number.

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 = 10100110019976 and 10100110020003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32461203 + ... + 32770869.

It is an arithmetic number, because the mean of its divisors is an integer number (356713846398).

Almost surely, 210100110020012 is an apocalyptic number.

10100110020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100110020012 is an abundant number, since it is smaller than the sum of its proper divisors (15583286920644).

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

10100110020012 is a wasteful number, since it uses less digits than its factorization.

10100110020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315087 (or 315082 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100110020012 its reverse (21002001100101), we get a palindrome (31102111120113).

The spelling of 10100110020012 in words is "ten trillion, one hundred billion, one hundred ten million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 5237 6228 10474 15711 20948 31422 47133 62844 94266 188532 309667 619334 906001 929001 1238668 1812002 1858002 2718003 2787003 3624004 3716004 5436006 5574006 8154009 10872012 11148012 16308018 32616036 53572391 107144782 160717173 214289564 321434346 482151519 642868692 964303038 1621726079 1928606076 3243452158 4865178237 6486904316 9730356474 14595534711 19460712948 29191069422 58382138844 280558611667 561117223334 841675835001 1122234446668 1683351670002 2525027505003 3366703340004 5050055010006 10100110020012