Search a number
-
+
12013212510 = 23251361168323
BaseRepresentation
bin10110011000000101…
…10001001101011110
31011000012222102111200
423030002301031132
5144100340300020
65304020500330
7603461423115
oct131402611536
934005872450
1012013212510
115105166402
1223b324a6a6
131195b0c690
1481d69ac7c
154a49d0590
hex2cc0b135e

12013212510 has 96 divisors (see below), whose sum is σ = 34188624288. Its totient is φ = 2908604160.

The previous prime is 12013212487. The next prime is 12013212521. The reversal of 12013212510 is 1521231021.

12013212510 is a `hidden beast` number, since 1 + 20 + 132 + 1 + 2 + 510 = 666.

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

It is a Curzon number.

It is a congruent number.

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, 12792 + ... + 155531.

It is an arithmetic number, because the mean of its divisors is an integer number (356131503).

Almost surely, 212013212510 is an apocalyptic number.

12013212510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013212510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17094312144).

12013212510 is an abundant number, since it is smaller than the sum of its proper divisors (22175411778).

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

12013212510 is a wasteful number, since it uses less digits than its factorization.

12013212510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168410 (or 168407 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 12013212510 its reverse (1521231021), we get a palindrome (13534443531).

The spelling of 12013212510 in words is "twelve billion, thirteen million, two hundred twelve thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 61 65 78 90 117 122 130 183 195 234 305 366 390 549 585 610 793 915 1098 1170 1586 1830 2379 2745 3965 4758 5490 7137 7930 11895 14274 23790 35685 71370 168323 336646 504969 841615 1009938 1514907 1683230 2188199 2524845 3029814 4376398 5049690 6564597 7574535 10267703 10940995 13129194 15149070 19693791 20535406 21881990 30803109 32822985 39387582 51338515 61606218 65645970 92409327 98468955 102677030 133480139 154015545 184818654 196937910 266960278 308031090 400440417 462046635 667400695 800880834 924093270 1201321251 1334801390 2002202085 2402642502 4004404170 6006606255 12013212510