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31420052200 = 23523721120123
BaseRepresentation
bin11101010000110001…
…111111001011101000
310000002201101000210001
4131100301333023220
51003322013132300
622233440432344
72161422015505
oct352061771350
9100081330701
1031420052200
1112363889299
12610a6186b4
132c69644984
141740c9a4ac
15c3d63016a
hex750c7f2e8

31420052200 has 96 divisors (see below), whose sum is σ = 75385308960. Its totient is φ = 12169785600.

The previous prime is 31420052149. The next prime is 31420052219. The reversal of 31420052200 is 225002413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1551339 + ... + 1571461.

It is an arithmetic number, because the mean of its divisors is an integer number (785263635).

Almost surely, 231420052200 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 31420052200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37692654480).

31420052200 is an abundant number, since it is smaller than the sum of its proper divisors (43965256760).

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

31420052200 is a wasteful number, since it uses less digits than its factorization.

31420052200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20387 (or 20378 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 31420052200 its reverse (225002413), we get a palindrome (31645054613).

The spelling of 31420052200 in words is "thirty-one billion, four hundred twenty million, fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 211 296 370 422 740 844 925 1055 1480 1688 1850 2110 3700 4220 5275 7400 7807 8440 10550 15614 20123 21100 31228 39035 40246 42200 62456 78070 80492 100615 156140 160984 195175 201230 312280 390350 402460 503075 744551 780700 804920 1006150 1489102 1561400 2012300 2978204 3722755 4024600 4245953 5956408 7445510 8491906 14891020 16983812 18613775 21229765 29782040 33967624 37227550 42459530 74455100 84919060 106148825 148910200 157100261 169838120 212297650 314200522 424595300 628401044 785501305 849190600 1256802088 1571002610 3142005220 3927506525 6284010440 7855013050 15710026100 31420052200