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12101000012142 = 2317738053201809
BaseRepresentation
bin1011000000010111101111…
…0011101010000101101110
31120211211210111102022210220
42300011323303222011232
53041230322000342032
641423042254512210
72356161026652216
oct260057363520556
946754714368726
1012101000012142
113946007041918
121435308505666
1369a172441b92
142db997791246
1515eb94d4012c
hexb017bcea16e

12101000012142 has 64 divisors (see below), whose sum is σ = 25980037796160. Its totient is φ = 3743903268864.

The previous prime is 12101000012141. The next prime is 12101000012173. The reversal of 12101000012142 is 24121000010121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101000012141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59861734 + ... + 60063542.

It is an arithmetic number, because the mean of its divisors is an integer number (405938090565).

Almost surely, 212101000012142 is an apocalyptic number.

12101000012142 is an abundant number, since it is smaller than the sum of its proper divisors (13879037784018).

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

12101000012142 is a wasteful number, since it uses less digits than its factorization.

12101000012142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209957.

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

Adding to 12101000012142 its reverse (24121000010121), we get a palindrome (36222000022263).

The spelling of 12101000012142 in words is "twelve trillion, one hundred one billion, twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 17 34 51 73 102 146 219 438 1241 2482 3723 7446 8053 16106 24159 48318 136901 201809 273802 403618 410703 587869 605427 821406 1175738 1210854 1763607 3430753 3527214 6861506 9993773 10292259 14732057 19987546 20584518 29464114 29981319 44196171 59962638 88392342 250444969 500889938 751334907 1502669814 1625167877 3250335754 4875503631 9751007262 27627853909 55255707818 82883561727 118637255021 165767123454 237274510042 355911765063 711823530126 2016833335357 4033666670714 6050500006071 12101000012142