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31730296900 = 22524723792
BaseRepresentation
bin11101100011010001…
…011110100001000100
310000220100011002111111
4131203101132201010
51004440424000100
622324322214404
72202210034141
oct354321364104
9100810132444
1031730296900
1112502a1a775
1261964b4404
132cb89bb813
1417701793c8
15c5a9b46ba
hex76345e844

31730296900 has 81 divisors (see below), whose sum is σ = 70537021149. Its totient is φ = 12389297760.

The previous prime is 31730296879. The next prime is 31730296931. The reversal of 31730296900 is 969203713.

The square root of 31730296900 is 178130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11422906884 + 20307390016 = 106878^2 + 142504^2 .

It is a super-2 number, since 2×317302969002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83720911 + ... + 83721289.

Almost surely, 231730296900 is an apocalyptic number.

31730296900 is the 178130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31730296900

31730296900 is an abundant number, since it is smaller than the sum of its proper divisors (38806724249).

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

31730296900 is an equidigital number, since it uses as much as digits as its factorization.

31730296900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The spelling of 31730296900 in words is "thirty-one billion, seven hundred thirty million, two hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 379 470 758 940 1175 1516 1895 2209 2350 3790 4418 4700 7580 8836 9475 11045 17813 18950 22090 35626 37900 44180 55225 71252 89065 110450 143641 178130 220900 287282 356260 445325 574564 718205 837211 890650 1436410 1674422 1781300 2872820 3348844 3591025 4186055 6751127 7182050 8372110 13502254 14364100 16744220 20930275 27004508 33755635 41860550 67511270 83721100 135022540 168778175 317302969 337556350 634605938 675112700 1269211876 1586514845 3173029690 6346059380 7932574225 15865148450 31730296900