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31231203100 = 2252717360257
BaseRepresentation
bin11101000101100001…
…100101011100011100
32222121120000111111221
4131011201211130130
51002430141444400
622203013023124
72153636563156
oct350541453434
988546014457
1031231203100
1112277222159
126077324aa4
132c39493046
141723b7bad6
15c2bc79c1a
hex74586571c

31231203100 has 72 divisors (see below), whose sum is σ = 69668853408. Its totient is φ = 12147609600.

The previous prime is 31231203097. The next prime is 31231203119. The reversal of 31231203100 is 130213213.

It is a super-2 number, since 2×312312031002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488172 + ... + 548428.

It is an arithmetic number, because the mean of its divisors is an integer number (967622964).

Almost surely, 231231203100 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 31231203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34834426704).

31231203100 is an abundant number, since it is smaller than the sum of its proper divisors (38437650308).

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

31231203100 is a wasteful number, since it uses less digits than its factorization.

31231203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60415 (or 60408 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31231203100 its reverse (130213213), we get a palindrome (31361416313).

The spelling of 31231203100 in words is "thirty-one billion, two hundred thirty-one million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 73 100 142 146 284 292 355 365 710 730 1420 1460 1775 1825 3550 3650 5183 7100 7300 10366 20732 25915 51830 60257 103660 120514 129575 241028 259150 301285 518300 602570 1205140 1506425 3012850 4278247 4398761 6025700 8556494 8797522 17112988 17595044 21391235 21993805 42782470 43987610 85564940 87975220 106956175 109969025 213912350 219938050 312312031 427824700 439876100 624624062 1249248124 1561560155 3123120310 6246240620 7807800775 15615601550 31231203100