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12101402334131 = 114153506271277
BaseRepresentation
bin1011000000011001001111…
…0010011001001110110011
31120211212211112110101211022
42300012103302121032303
53041232132444143011
641423150230010055
72356204013434505
oct260062362311663
946755745411738
1012101402334131
1139461a3153330
1214353bb1a692b
1369a2078b7326
142db9d4d9bd75
1515ebba3118db
hexb0193c993b3

12101402334131 has 16 divisors (see below), whose sum is σ = 13778679102048. Its totient is φ = 10530442540800.

The previous prime is 12101402334121. The next prime is 12101402334191. The reversal of 12101402334131 is 13143320410121.

It is a cyclic number.

It is not a de Polignac number, because 12101402334131 - 238 = 11826524427187 is a prime.

It is a super-2 number, since 2×121014023341312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12101402334131.

It is not an unprimeable number, because it can be changed into a prime (12101402334121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253111736 + ... + 253159541.

It is an arithmetic number, because the mean of its divisors is an integer number (861167443878).

Almost surely, 212101402334131 is an apocalyptic number.

12101402334131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12101402334131 is a deficient number, since it is larger than the sum of its proper divisors (1677276767917).

12101402334131 is a wasteful number, since it uses less digits than its factorization.

12101402334131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506271382.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 12101402334131 its reverse (13143320410121), we get a palindrome (25244722744252).

The spelling of 12101402334131 in words is "twelve trillion, one hundred one billion, four hundred two million, three hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 11 41 53 451 583 2173 23903 506271277 5568984047 20757122357 26832377681 228328345927 295156154491 1100127484921 12101402334131