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12414120110 = 257311332029
BaseRepresentation
bin10111000111111000…
…00111000010101110
31012001011100122100022
423203330013002232
5200411003320420
65411501402142
7616430165000
oct134374070256
935034318308
1012414120110
1152a04a11a7
1224a5569352
13122abab102
1485aa1a370
154c9cc2c25
hex2e3f070ae

12414120110 has 64 divisors (see below), whose sum is σ = 26290224000. Its totient is φ = 4218471936.

The previous prime is 12414120109. The next prime is 12414120113. The reversal of 12414120110 is 1102141421.

It is a super-2 number, since 2×124141201102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414120113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371576 + ... + 403604.

It is an arithmetic number, because the mean of its divisors is an integer number (410784750).

Almost surely, 212414120110 is an apocalyptic number.

12414120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12414120110 is an abundant number, since it is smaller than the sum of its proper divisors (13876103890).

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

12414120110 is a wasteful number, since it uses less digits than its factorization.

12414120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32170 (or 32156 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12414120110 its reverse (1102141421), we get a palindrome (13516261531).

The spelling of 12414120110 in words is "twelve billion, four hundred fourteen million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 113 226 245 343 490 565 686 791 1130 1582 1715 3430 3955 5537 7910 11074 27685 32029 38759 55370 64058 77518 160145 193795 224203 320290 387590 448406 1121015 1569421 2242030 3138842 3619277 7238554 7847105 10985947 15694210 18096385 21971894 25334939 36192770 50669878 54929735 109859470 126674695 177344573 253349390 354689146 886722865 1241412011 1773445730 2482824022 6207060055 12414120110