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102141201042 = 2341135579657
BaseRepresentation
bin101111100100000010…
…1110000101010010010
3100202122101200121220000
41133020011300222102
53133141121413132
6114531212230430
710244103612066
oct1371005605222
9322571617800
10102141201042
113a355055141
1217966a6b416
13982a2c49ca
144d2d593aa6
1529cc1de87c
hex17c8170a92

102141201042 has 40 divisors (see below), whose sum is σ = 230897407356. Its totient is φ = 33745759488.

The previous prime is 102141201017. The next prime is 102141201079. The reversal of 102141201042 is 240102141201.

It can be written as a sum of positive squares in 2 ways, for example, as 96304088241 + 5837112801 = 310329^2 + 76401^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2771523 + ... + 2808134.

Almost surely, 2102141201042 is an apocalyptic number.

102141201042 is an abundant number, since it is smaller than the sum of its proper divisors (128756206314).

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

102141201042 is a wasteful number, since it uses less digits than its factorization.

102141201042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5579784 (or 5579775 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102141201042 its reverse (240102141201), we get a palindrome (342243342243).

The spelling of 102141201042 in words is "one hundred two billion, one hundred forty-one million, two hundred one thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 678 1017 2034 3051 6102 9153 18306 5579657 11159314 16738971 33477942 50216913 100433826 150650739 301301478 451952217 630501241 903904434 1261002482 1891503723 3783007446 5674511169 11349022338 17023533507 34047067014 51070600521 102141201042