Search a number
-
+
31700294300 = 225210112172579
BaseRepresentation
bin11101100001011111…
…000001101010011100
310000211020200210200002
4131201133001222130
51004410233404200
622321331153432
72201364025043
oct354137015234
9100736623602
1031700294300
1112497a98334
126188445878
132cb27155bc
14176a1a955a
15c58039bd5
hex7617c1a9c

31700294300 has 72 divisors (see below), whose sum is σ = 69554766960. Its totient is φ = 12539392000.

The previous prime is 31700294287. The next prime is 31700294369. The reversal of 31700294300 is 349200713.

It is a super-2 number, since 2×317002943002 (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 23 ways as a sum of consecutive naturals, for example, 12290411 + ... + 12292989.

It is an arithmetic number, because the mean of its divisors is an integer number (966038430).

Almost surely, 231700294300 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 31700294300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34777383480).

31700294300 is an abundant number, since it is smaller than the sum of its proper divisors (37854472660).

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

31700294300 is a wasteful number, since it uses less digits than its factorization.

31700294300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The spelling of 31700294300 in words is "thirty-one billion, seven hundred million, two hundred ninety-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 1217 2020 2434 2525 2579 4868 5050 5158 6085 10100 10316 12170 12895 24340 25790 30425 51580 60850 64475 121700 122917 128950 245834 257900 260479 491668 520958 614585 1041916 1229170 1302395 2458340 2604790 3072925 3138643 5209580 6145850 6277286 6511975 12291700 12554572 13023950 15693215 26047900 31386430 62772860 78466075 156932150 313864300 317002943 634005886 1268011772 1585014715 3170029430 6340058860 7925073575 15850147150 31700294300