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31231113100 = 225211175928307
BaseRepresentation
bin11101000101100001…
…001111011110001100
32222121112211221001121
4131011201033132030
51002430131104400
622203011050324
72153636036605
oct350541173614
988545757047
1031231113100
1112277170580
1260772a09a4
132c394610a5
141723b56dac
15c2bc5d21a
hex74584f78c

31231113100 has 144 divisors (see below), whose sum is σ = 79611154560. Its totient is φ = 10507187200.

The previous prime is 31231113079. The next prime is 31231113107. The reversal of 31231113100 is 131113213.

It is a super-2 number, since 2×312311131002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31231113107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089147 + ... + 1117453.

It is an arithmetic number, because the mean of its divisors is an integer number (552855240).

Almost surely, 231231113100 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 31231113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39805577280).

31231113100 is an abundant number, since it is smaller than the sum of its proper divisors (48380041460).

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

31231113100 is a wasteful number, since it uses less digits than its factorization.

31231113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28408 (or 28401 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 31231113100 its reverse (131113213), we get a palindrome (31362226313).

The spelling of 31231113100 in words is "thirty-one billion, two hundred thirty-one million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 59 68 85 100 110 118 170 187 220 236 275 295 340 374 425 550 590 649 748 850 935 1003 1100 1180 1298 1475 1700 1870 2006 2596 2950 3245 3740 4012 4675 5015 5900 6490 9350 10030 11033 12980 16225 18700 20060 22066 25075 28307 32450 44132 50150 55165 56614 64900 100300 110330 113228 141535 220660 275825 283070 311377 481219 551650 566140 622754 707675 962438 1103300 1245508 1415350 1556885 1670113 1924876 2406095 2830700 3113770 3340226 4812190 5293409 6227540 6680452 7784425 8350565 9624380 10586818 12030475 15568850 16701130 18371243 21173636 24060950 26467045 28391921 31137700 33402260 36742486 41752825 48121900 52934090 56783842 73484972 83505650 91856215 105868180 113567684 132335225 141959605 167011300 183712430 264670450 283919210 312311131 367424860 459281075 529340900 567838420 624622262 709798025 918562150 1249244524 1419596050 1561555655 1837124300 2839192100 3123111310 6246222620 7807778275 15615556550 31231113100