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31110132100 = 225213911231993
BaseRepresentation
bin11100111110010011…
…101111000110000100
32222022010012110022211
4130332103233012010
51002203143211400
622143010033204
72150636521405
oct347623570604
988263173284
1031110132100
1112214949783
126042878804
132c1a3827b8
141711a639ac
15c21311dba
hex73e4ef184

31110132100 has 72 divisors (see below), whose sum is σ = 68089357280. Its totient is φ = 12337332480.

The previous prime is 31110132083. The next prime is 31110132121. The reversal of 31110132100 is 123101113.

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, 15608704 + ... + 15610696.

Almost surely, 231110132100 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 31110132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34044678640).

31110132100 is an abundant number, since it is smaller than the sum of its proper divisors (36979225180).

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

31110132100 is a wasteful number, since it uses less digits than its factorization.

31110132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 31110132100 its reverse (123101113), we get a palindrome (31233233213).

It can be divided in two parts, 3111013 and 2100, that added together give a palindrome (3113113).

The spelling of 31110132100 in words is "thirty-one billion, one hundred ten million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1123 1390 1993 2246 2780 3475 3986 4492 5615 6950 7972 9965 11230 13900 19930 22460 28075 39860 49825 56150 99650 112300 156097 199300 277027 312194 554054 624388 780485 1108108 1385135 1560970 2238139 2770270 3121940 3902425 4476278 5540540 6925675 7804850 8952556 11190695 13851350 15609700 22381390 27702700 44762780 55953475 111906950 223813900 311101321 622202642 1244405284 1555506605 3111013210 6222026420 7777533025 15555066050 31110132100