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102130331042331 = 32130377167112859
BaseRepresentation
bin10111001110001100010010…
…000110100100001000011011
3111101121120020101000022120200
4113032030102012210020123
5101341300404221323311
61001114005410153243
730340446545213544
oct2716142206441033
9441546211008520
10102130331042331
112a5a6259383099
12b555661282823
1344cab0602b177
141b311c4b014cb
15bc199e702556
hex5ce3121a421b

102130331042331 has 24 divisors (see below), whose sum is σ = 147638027496960. Its totient is φ = 68033148943536.

The previous prime is 102130331042309. The next prime is 102130331042473. The reversal of 102130331042331 is 133240133031201.

102130331042331 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 303 + 310 + 42 + 3 + 3 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-102130331042331 is a prime.

It is a super-2 number, since 2×1021303310423312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102130331042295 and 102130331042304.

It is not an unprimeable number, because it can be changed into a prime (102130331047331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904880980 + ... + 904993838.

It is an arithmetic number, because the mean of its divisors is an integer number (6151584479040).

Almost surely, 2102130331042331 is an apocalyptic number.

102130331042331 is a deficient number, since it is larger than the sum of its proper divisors (45507696454629).

102130331042331 is a wasteful number, since it uses less digits than its factorization.

102130331042331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191335 (or 191332 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 102130331042331 its reverse (133240133031201), we get a palindrome (235370464073532).

The spelling of 102130331042331 in words is "one hundred two trillion, one hundred thirty billion, three hundred thirty-one million, forty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 1303 3909 11727 77167 112859 231501 338577 694503 1015731 100548601 147055277 301645803 441165831 904937409 1323497493 8708990453 26126971359 78380914077 11347814560259 34043443680777 102130331042331