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31010001100 = 225213225110597
BaseRepresentation
bin11100111000010101…
…110001000011001100
32222001010210021102021
4130320111301003030
51002002030013400
622125031535524
72145312442321
oct347025610314
988033707367
1031010001100
1112173378891
12601522a5a4
132c026c44a0
14170263ab48
15c1763371a
hex7385710cc

31010001100 has 72 divisors (see below), whose sum is σ = 72507022448. Its totient is φ = 11443680000.

The previous prime is 31010001097. The next prime is 31010001103. The reversal of 31010001100 is 110001013.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31010001097) and next prime (31010001103).

It is not an unprimeable number, because it can be changed into a prime (31010001103) 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, 2921002 + ... + 2931598.

Almost surely, 231010001100 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 31010001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36253511224).

31010001100 is an abundant number, since it is smaller than the sum of its proper divisors (41497021348).

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

31010001100 is a wasteful number, since it uses less digits than its factorization.

31010001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12875 (or 12868 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 31010001100 its reverse (110001013), we get a palindrome (31120002113).

The spelling of 31010001100 in words is "thirty-one billion, ten million, one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2251 4502 9004 10597 11255 21194 22510 29263 42388 45020 52985 56275 58526 105970 112550 117052 137761 146315 211940 225100 264925 275522 292630 529850 551044 585260 688805 731575 1059700 1377610 1463150 2755220 2926300 3444025 6888050 13776100 23853847 47707694 95415388 119269235 238538470 310100011 477076940 596346175 620200022 1192692350 1240400044 1550500055 2385384700 3101000110 6202000220 7752500275 15505000550 31010001100