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15131133234 = 235723193379
BaseRepresentation
bin11100001011110001…
…01100010100110010
31110001111220012200000
432011320230110302
5221442032230414
610541240410430
71043651340030
oct160570542462
943044805600
1015131133234
116465148398
122b23476a16
131571a70599
14a377db550
155d85b8b09
hex385e2c532

15131133234 has 96 divisors (see below), whose sum is σ = 40544824320. Its totient is φ = 4135195152.

The previous prime is 15131133229. The next prime is 15131133247. The reversal of 15131133234 is 43233113151.

15131133234 is a `hidden beast` number, since 1 + 513 + 113 + 3 + 2 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 15131133198 and 15131133207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18444 + ... + 174935.

It is an arithmetic number, because the mean of its divisors is an integer number (422341920).

Almost surely, 215131133234 is an apocalyptic number.

15131133234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15131133234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272412160).

15131133234 is an abundant number, since it is smaller than the sum of its proper divisors (25413691086).

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

15131133234 is a wasteful number, since it uses less digits than its factorization.

15131133234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193426 (or 193414 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

Adding to 15131133234 its reverse (43233113151), we get a palindrome (58364246385).

The spelling of 15131133234 in words is "fifteen billion, one hundred thirty-one million, one hundred thirty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 243 322 378 414 483 486 567 621 966 1134 1242 1449 1701 1863 2898 3402 3726 4347 5589 8694 11178 13041 26082 39123 78246 193379 386758 580137 1160274 1353653 1740411 2707306 3480822 4060959 4447717 5221233 8121918 8895434 10442466 12182877 13343151 15663699 24365754 26686302 31134019 31327398 36548631 40029453 46991097 62268038 73097262 80058906 93402057 93982194 109645893 120088359 186804114 219291786 240176718 280206171 328937679 360265077 560412342 657875358 720530154 840618513 1080795231 1681237026 2161590462 2521855539 5043711078 7565566617 15131133234