Search a number
-
+
31300701952 = 281367229613
BaseRepresentation
bin11101001001101010…
…101100111100000000
32222210101210102000111
4131021222230330000
51003100434430302
622213534401104
72155442401552
oct351152547400
988711712014
1031300701952
1112302480723
126096660194
132c4a9b7720
14172d0ad4d2
15c32e070d7
hex749aacf00

31300701952 has 144 divisors (see below), whose sum is σ = 68699575840. Its totient is φ = 14145601536.

The previous prime is 31300701923. The next prime is 31300701961. The reversal of 31300701952 is 25910700313.

It is a super-2 number, since 2×313007019522 (a number of 22 digits) contains 22 as substring.

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, 51061198 + ... + 51061810.

Almost surely, 231300701952 is an apocalyptic number.

31300701952 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 31300701952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34349787920).

31300701952 is an abundant number, since it is smaller than the sum of its proper divisors (37398873888).

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

31300701952 is a wasteful number, since it uses less digits than its factorization.

31300701952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The spelling of 31300701952 in words is "thirty-one billion, three hundred million, seven hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 128 134 208 229 256 268 416 458 536 613 832 871 916 1072 1226 1664 1742 1832 2144 2452 2977 3328 3484 3664 4288 4904 5954 6968 7328 7969 8576 9808 11908 13936 14656 15343 15938 17152 19616 23816 27872 29312 30686 31876 39232 41071 47632 55744 58624 61372 63752 78464 82142 95264 111488 122744 127504 140377 156928 164284 190528 199459 222976 245488 255008 280754 328568 381056 398918 490976 510016 533923 561508 657136 762112 797836 981952 1020032 1067846 1123016 1314272 1595672 1824901 1963904 2040064 2135692 2246032 2628544 3191344 3649802 3927808 4271384 4492064 5257088 6382688 7299604 8542768 8984128 9405259 10514176 12765376 14599208 17085536 17968256 18810518 25530752 29198416 34171072 35936512 37621036 51061504 58396832 68342144 75242072 116793664 122268367 136684288 150484144 233587328 244536734 300968288 467174656 489073468 601936576 978146936 1203873152 1956293872 2407746304 3912587744 7825175488 15650350976 31300701952