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31132032100 = 225213311315897
BaseRepresentation
bin11100111111100111…
…010001110001100100
32222100122102002110221
4130333213101301210
51002224300011400
622145111254124
72151323622661
oct347747216144
988318362427
1031132032100
1112226247554
12604a07a344
132c21a7c990
141714924a68
15c231dac1a
hex73f9d1c64

31132032100 has 144 divisors (see below), whose sum is σ = 75686155776. Its totient is φ = 11037312000.

The previous prime is 31132032091. The next prime is 31132032143. The reversal of 31132032100 is 123023113.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5276352 + ... + 5282248.

It is an arithmetic number, because the mean of its divisors is an integer number (525598304).

Almost surely, 231132032100 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 31132032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37843077888).

31132032100 is an abundant number, since it is smaller than the sum of its proper divisors (44554123676).

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

31132032100 is a wasteful number, since it uses less digits than its factorization.

31132032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086 (or 6079 counting only the distinct ones).

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

Adding to 31132032100 its reverse (123023113), we get a palindrome (31255055213).

The spelling of 31132032100 in words is "thirty-one billion, one hundred thirty-two million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 131 155 260 262 310 325 403 524 620 650 655 775 806 1300 1310 1550 1612 1703 2015 2620 3100 3275 3406 4030 4061 5897 6550 6812 8060 8122 8515 10075 11794 13100 16244 17030 20150 20305 23588 29485 34060 40300 40610 42575 52793 58970 76661 81220 85150 101525 105586 117940 147425 153322 170300 182807 203050 211172 263965 294850 306644 365614 383305 406100 527930 589700 731228 766610 772507 914035 1055860 1319825 1533220 1545014 1828070 1916525 2376491 2639650 3090028 3656140 3833050 3862535 4570175 4752982 5279300 7666100 7725070 9140350 9505964 10042591 11882455 15450140 18280700 19312675 20085182 23764910 23947717 38625350 40170364 47529820 47895434 50212955 59412275 77250700 95790868 100425910 118824550 119738585 200851820 237649100 239477170 251064775 311320321 478954340 502129550 598692925 622640642 1004259100 1197385850 1245281284 1556601605 2394771700 3113203210 6226406420 7783008025 15566016050 31132032100