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31460317300 = 225217100918341
BaseRepresentation
bin11101010011001011…
…100101100001110100
310000012112010201010001
4131103023211201310
51003412320123200
622241435441044
72162421166456
oct352313454164
9100175121101
1031460317300
1112384590035
12611bbb6184
132c74aa2089
14174637c2d6
15c41e3576a
hex7532e5874

31460317300 has 72 divisors (see below), whose sum is σ = 72360290520. Its totient is φ = 11831500800.

The previous prime is 31460317277. The next prime is 31460317307. The reversal of 31460317300 is 371306413.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 13557342096 + 17902975204 = 116436^2 + 133802^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31460317307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1706130 + ... + 1724470.

It is an arithmetic number, because the mean of its divisors is an integer number (1005004035).

Almost surely, 231460317300 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 31460317300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36180145260).

31460317300 is an abundant number, since it is smaller than the sum of its proper divisors (40899973220).

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

31460317300 is a wasteful number, since it uses less digits than its factorization.

31460317300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19381 (or 19374 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 31460317300 in words is "thirty-one billion, four hundred sixty million, three hundred seventeen thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1009 1700 2018 4036 5045 10090 17153 18341 20180 25225 34306 36682 50450 68612 73364 85765 91705 100900 171530 183410 311797 343060 366820 428825 458525 623594 857650 917050 1247188 1558985 1715300 1834100 3117970 6235940 7794925 15589850 18506069 31179700 37012138 74024276 92530345 185060690 314603173 370121380 462651725 629206346 925303450 1258412692 1573015865 1850606900 3146031730 6292063460 7865079325 15730158650 31460317300