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10032242121 = 36118315073
BaseRepresentation
bin10010101011111011…
…11101110111001001
3221220011102201000000
421111331331313021
5131021223221441
64335253433213
7503415436206
oct112575756711
927804381000
1010032242121
114288a36aa0
121b3b93b809
13c3b598b55
146b2556cad
153dab2b2b6
hex255f7ddc9

10032242121 has 56 divisors (see below), whose sum is σ = 16607689056. Its totient is φ = 6006493440.

The previous prime is 10032242063. The next prime is 10032242161. The reversal of 10032242121 is 12124223001.

It is a happy number.

It is not a de Polignac number, because 10032242121 - 231 = 7884758473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10032242094 and 10032242103.

It is not an unprimeable number, because it can be changed into a prime (10032242161) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 658041 + ... + 673113.

It is an arithmetic number, because the mean of its divisors is an integer number (296565876).

Almost surely, 210032242121 is an apocalyptic number.

10032242121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10032242121 is a deficient number, since it is larger than the sum of its proper divisors (6575446935).

10032242121 is an equidigital number, since it uses as much as digits as its factorization.

10032242121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15185 (or 15170 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10032242121 its reverse (12124223001), we get a palindrome (22156465122).

The spelling of 10032242121 in words is "ten billion, thirty-two million, two hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 83 99 243 249 297 729 747 891 913 2241 2673 2739 6723 8019 8217 15073 20169 24651 45219 60507 73953 135657 165803 221859 406971 497409 665577 1220913 1251059 1492227 3662739 3753177 4476681 10988217 11259531 13430043 13761649 33778593 40290129 41284947 101335779 120870387 123854841 304007337 371564523 912022011 1114693569 3344080707 10032242121