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1013025343232 = 28719178916631
BaseRepresentation
bin11101011110111010000…
…01000000011100000000
310120211210110220102022202
432233131001000130000
5113044133441440412
62053213304452332
7133121466225440
oct16573501003400
93524713812282
101013025343232
11360692440071
121443b817a0a8
13746b29a1a26
14370602cc120
151b5400223c2
hexebdd040700

1013025343232 has 144 divisors (see below), whose sum is σ = 2434099852800. Its totient is φ = 411048898560.

The previous prime is 1013025343199. The next prime is 1013025343271. The reversal of 1013025343232 is 2323435203101.

It is a happy number.

It is a super-2 number, since 2×10130253432322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013025343195 and 1013025343204.

It is a congruent number.

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, 60903557 + ... + 60920187.

It is an arithmetic number, because the mean of its divisors is an integer number (16903471200).

Almost surely, 21013025343232 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 1013025343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217049926400).

1013025343232 is an abundant number, since it is smaller than the sum of its proper divisors (1421074509568).

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

1013025343232 is a wasteful number, since it uses less digits than its factorization.

1013025343232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18462 (or 18448 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The spelling of 1013025343232 in words is "one trillion, thirteen billion, twenty-five million, three hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1064 1216 1789 1792 2128 2432 3578 4256 4864 7156 8512 12523 14312 16631 17024 25046 28624 33262 33991 34048 50092 57248 66524 67982 100184 114496 116417 133048 135964 200368 228992 232834 237937 266096 271928 315989 400736 457984 465668 475874 532192 543856 631978 801472 931336 951748 1064384 1087712 1263956 1602944 1862672 1903496 2128768 2175424 2211923 2527912 3205888 3725344 3806992 4257536 4350848 4423846 5055824 7450688 7613984 8701696 8847692 10111648 14901376 15227968 17695384 20223296 29752859 29802752 30455936 35390768 40446592 59505718 60911872 70781536 80893184 119011436 141563072 208270013 238022872 283126144 416540026 476045744 565304321 566252288 833080052 952091488 1130608642 1666160104 1904182976 2261217284 3332320208 3808365952 3957130247 4522434568 6664640416 7616731904 7914260494 9044869136 13329280832 15828520988 18089738272 26658561664 31657041976 36179476544 53317123328 63314083952 72358953088 126628167904 144717906176 253256335808 506512671616 1013025343232