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10101111000012 = 2232358159783413
BaseRepresentation
bin1001001011111101100100…
…1000100000101111001100
31022202122201210102020120200
42102333121020200233030
52310444033404000022
633252215240413500
72061531642562014
oct222773110405714
938678653366520
1010101111000012
11324494790794a
1211717b5777290
135836b8b9a706
1426cc79952c44
15127b46987bac
hex92fd9220bcc

10101111000012 has 36 divisors (see below), whose sum is σ = 25533467799840. Its totient is φ = 3367023301152.

The previous prime is 10101110999843. The next prime is 10101111000023. The reversal of 10101111000012 is 21000011110101.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 10101110999958 and 10101111000003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12502018 + ... + 13285430.

It is an arithmetic number, because the mean of its divisors is an integer number (709262994440).

Almost surely, 210101111000012 is an apocalyptic number.

10101111000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101111000012 is an abundant number, since it is smaller than the sum of its proper divisors (15432356799828).

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

10101111000012 is a wasteful number, since it uses less digits than its factorization.

10101111000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141582 (or 1141577 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101111000012 its reverse (21000011110101), we get a palindrome (31101122110113).

The spelling of 10101111000012 in words is "ten trillion, one hundred one billion, one hundred eleven million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 358159 716318 783413 1074477 1432636 1566826 2148954 2350239 3133652 3223431 4297908 4700478 6446862 7050717 9400956 12893724 14101434 28202868 280586416667 561172833334 841759250001 1122345666668 1683518500002 2525277750003 3367037000004 5050555500006 10101111000012