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1013402013232 = 247297119722307
BaseRepresentation
bin11101011111100110111…
…01111000111000110000
310120212202201200020102111
432233303131320320300
5113100421403410412
62053314522055104
7133134021661630
oct16576335707060
93525681606374
101013402013232
11360866020894
121444a234a494
1374742a3529b
143709833c6c0
151b5631282a7
hexebf3778e30

1013402013232 has 160 divisors (see below), whose sum is σ = 2366089989120. Its totient is φ = 411315502080.

The previous prime is 1013402013229. The next prime is 1013402013233. The reversal of 1013402013232 is 2323102043101.

It is not an unprimeable number, because it can be changed into a prime (1013402013233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45418623 + ... + 45440929.

It is an arithmetic number, because the mean of its divisors is an integer number (14788062432).

Almost surely, 21013402013232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013402013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183044994560).

1013402013232 is an abundant number, since it is smaller than the sum of its proper divisors (1352687975888).

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

1013402013232 is a wasteful number, since it uses less digits than its factorization.

1013402013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22619 (or 22613 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1013402013232 its reverse (2323102043101), we get a palindrome (3336504056333).

The spelling of 1013402013232 in words is "one trillion, thirteen billion, four hundred two million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 71 112 116 142 197 203 232 284 394 406 464 497 568 788 812 994 1136 1379 1576 1624 1988 2059 2758 3152 3248 3976 4118 5516 5713 7952 8236 11032 11426 13987 14413 16472 22064 22307 22852 27974 28826 32944 39991 44614 45704 55948 57652 79982 89228 91408 97909 111896 115304 156149 159964 178456 195818 223792 230608 312298 319928 356912 391636 405623 624596 639856 646903 783272 811246 1249192 1293806 1566544 1583797 1622492 2498384 2587612 2839361 3167594 3244984 4394479 4528321 5175224 5678722 6335188 6489968 8788958 9056642 10350448 11086579 11357444 12670376 17577916 18113284 22173158 22714888 25340752 30761353 35155832 36226568 44346316 45429776 45930113 61522706 70311664 72453136 88692632 91860226 123045412 127439891 177385264 183720452 246090824 254879782 312008009 321510791 367440904 492181648 509759564 624016018 643021582 734881808 892079237 1019519128 1248032036 1286043164 1784158474 2039038256 2184056063 2496064072 2572086328 3568316948 4368112126 4992128144 5144172656 7136633896 8736224252 9048232261 14273267792 17472448504 18096464522 34944897008 36192929044 63337625827 72385858088 126675251654 144771716176 253350503308 506701006616 1013402013232