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103405506252 = 22331367175721
BaseRepresentation
bin110000001001101110…
…0101100111011001100
3100212220111200222120220
41200103130230323030
53143233302200002
6115300454511340
710320325205106
oct1402334547314
9325814628526
10103405506252
113a943792384
121805a365550
13999c2128b9
14500d462576
152a531cd7bc
hex181372cecc

103405506252 has 48 divisors (see below), whose sum is σ = 249133860864. Its totient is φ = 33347088000.

The previous prime is 103405506247. The next prime is 103405506313. The reversal of 103405506252 is 252605504301.

It is a super-2 number, since 2×1034055062522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1327752 + ... + 1403472.

It is an arithmetic number, because the mean of its divisors is an integer number (5190288768).

Almost surely, 2103405506252 is an apocalyptic number.

103405506252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103405506252 is an abundant number, since it is smaller than the sum of its proper divisors (145728354612).

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

103405506252 is a wasteful number, since it uses less digits than its factorization.

103405506252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79430 (or 79428 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 103405506252 in words is "one hundred three billion, four hundred five million, five hundred six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 3671 7342 11013 14684 22026 44052 75721 113801 151442 227163 227602 302884 341403 454326 455204 682806 908652 1365612 2347351 4694702 7042053 9389404 14084106 28168212 277971791 555943582 833915373 1111887164 1667830746 3335661492 8617125521 17234251042 25851376563 34468502084 51702753126 103405506252