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31303177216 = 210292163223
BaseRepresentation
bin11101001001110100…
…001001010000000000
32222210120110011102221
4131021310021100000
51003102103132331
622214103420424
72155502421223
oct351164112000
988716404387
1031303177216
11123039113a3
126097454714
132c4b37328c
14172d5555ba
15c33245711
hex749d09400

31303177216 has 132 divisors (see below), whose sum is σ = 65497973632. Its totient is φ = 14951817216.

The previous prime is 31303177211. The next prime is 31303177219. The reversal of 31303177216 is 61277130313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31303177211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140372881 + ... + 140373103.

Almost surely, 231303177216 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 31303177216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32748986816).

31303177216 is an abundant number, since it is smaller than the sum of its proper divisors (34194796416).

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

31303177216 is a wasteful number, since it uses less digits than its factorization.

31303177216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The spelling of 31303177216 in words is "thirty-one billion, three hundred three million, one hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 163 223 232 256 326 446 464 512 652 841 892 928 1024 1304 1682 1784 1856 2608 3364 3568 3712 4727 5216 6467 6728 7136 7424 9454 10432 12934 13456 14272 14848 18908 20864 25868 26912 28544 29696 36349 37816 41728 51736 53824 57088 72698 75632 83456 103472 107648 114176 137083 145396 151264 166912 187543 206944 215296 228352 274166 290792 302528 375086 413888 430592 548332 581584 605056 750172 827776 861184 1054121 1096664 1163168 1210112 1500344 1655552 2108242 2193328 2326336 2420224 3000688 3311104 4216484 4386656 4652672 4840448 6001376 6622208 8432968 8773312 9305344 12002752 16865936 17546624 18610688 24005504 30569509 33731872 35093248 37221376 48011008 61139018 67463744 70186496 96022016 122278036 134927488 140372992 192044032 244556072 269854976 489112144 539709952 978224288 1079419904 1956448576 3912897152 7825794304 15651588608 31303177216