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10102203131 = 177917942023
BaseRepresentation
bin10010110100010001…
…10110001011111011
3222002001002002110112
421122020312023323
5131142131000011
64350233134535
7505225211156
oct113210661373
928061062415
1010102203131
114314480809
121b5b25a44b
13c4cc229b7
146bb968c9d
153e1d4a58b
hex25a2362fb

10102203131 has 16 divisors (see below), whose sum is σ = 10892620800. Its totient is φ = 9334935168.

The previous prime is 10102203109. The next prime is 10102203149. The reversal of 10102203131 is 13130220101.

It is a cyclic number.

It is not a de Polignac number, because 10102203131 - 214 = 10102186747 is a prime.

It is a super-2 number, since 2×101022031312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10102203101) 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, 219386 + ... + 261408.

It is an arithmetic number, because the mean of its divisors is an integer number (680788800).

Almost surely, 210102203131 is an apocalyptic number.

10102203131 is a deficient number, since it is larger than the sum of its proper divisors (790417669).

10102203131 is a wasteful number, since it uses less digits than its factorization.

10102203131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42298.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10102203131 its reverse (13130220101), we get a palindrome (23232423232).

The spelling of 10102203131 in words is "ten billion, one hundred two million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 17 79 179 1343 3043 14141 42023 240397 714391 3319817 7522117 56436889 127875989 594247243 10102203131