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10402121112 = 233479904847
BaseRepresentation
bin10011011000000001…
…11100010110011000
3222211221102111120220
421230000330112120
5132300420333422
64440105320040
7515526366465
oct115400742630
928757374526
1010402121112
1144587a9609
122023796020
13c9a0c2366
1470971a66c
1540d33ee5c
hex26c03c598

10402121112 has 32 divisors (see below), whose sum is σ = 26059622400. Its totient is φ = 3460131104.

The previous prime is 10402121089. The next prime is 10402121117. The reversal of 10402121112 is 21112120401.

It is a super-2 number, since 2×104021211122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10402121091 and 10402121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402121117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440928 + ... + 463919.

It is an arithmetic number, because the mean of its divisors is an integer number (814363200).

Almost surely, 210402121112 is an apocalyptic number.

10402121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10402121112 is an abundant number, since it is smaller than the sum of its proper divisors (15657501288).

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

10402121112 is a wasteful number, since it uses less digits than its factorization.

10402121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905335 (or 905331 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10402121112 its reverse (21112120401), we get a palindrome (31514241513).

The spelling of 10402121112 in words is "ten billion, four hundred two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 479 958 1437 1916 2874 3832 5748 11496 904847 1809694 2714541 3619388 5429082 7238776 10858164 21716328 433421713 866843426 1300265139 1733686852 2600530278 3467373704 5201060556 10402121112