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31201311232 = 297131275273
BaseRepresentation
bin11101000011101111…
…100011101000000000
32222112110202211120201
4131003233203220000
51002400013424412
622200024214544
72153124524650
oct350357435000
988473684521
1031201311232
1112261365a33
12606930a454
132c33228350
14171dbda360
15c29322e57
hex743be3a00

31201311232 has 160 divisors (see below), whose sum is σ = 77347049472. Its totient is φ = 12243861504.

The previous prime is 31201311217. The next prime is 31201311257. The reversal of 31201311232 is 23211310213.

It is a super-2 number, since 2×312013112322 (a number of 22 digits) contains 22 as substring.

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, 5914548 + ... + 5919820.

Almost surely, 231201311232 is an apocalyptic number.

31201311232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31201311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38673524736).

31201311232 is an abundant number, since it is smaller than the sum of its proper divisors (46145738240).

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

31201311232 is a wasteful number, since it uses less digits than its factorization.

31201311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 31201311232 its reverse (23211310213), we get a palindrome (54412621445).

The spelling of 31201311232 in words is "thirty-one billion, two hundred one million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 127 128 182 208 224 254 256 364 416 448 508 512 728 832 889 896 1016 1456 1651 1664 1778 1792 2032 2912 3302 3328 3556 3584 4064 5273 5824 6604 6656 7112 8128 10546 11557 11648 13208 14224 16256 21092 23114 23296 26416 28448 32512 36911 42184 46228 46592 52832 56896 65024 68549 73822 84368 92456 105664 113792 137098 147644 168736 184912 211328 227584 274196 295288 337472 369824 422656 455168 479843 548392 590576 669671 674944 739648 845312 959686 1096784 1181152 1339342 1349888 1479296 1919372 2193568 2362304 2678684 2699776 2958592 3838744 4387136 4687697 4724608 5357368 5917184 7677488 8705723 8774272 9375394 9449216 10714736 15354976 17411446 17548544 18750788 18898432 21429472 30709952 34822892 35097088 37501576 42858944 60940061 61419904 69645784 75003152 85717888 121880122 122839808 139291568 150006304 171435776 243760244 245679616 278583136 300012608 342871552 487520488 557166272 600025216 975040976 1114332544 1200050432 1950081952 2228665088 2400100864 3900163904 4457330176 7800327808 15600655616 31201311232