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10310113100 = 22527137107509
BaseRepresentation
bin10011001101000011…
…11101011101001100
3222121112022000022202
421212201331131030
5132103342104400
64423021301032
7513331341530
oct114641753514
928545260282
1010310113100
114410876631
121bb8a04778
13c84019451
146db409bc0
154052184d5
hex26687d74c

10310113100 has 72 divisors (see below), whose sum is σ = 25755955680. Its totient is φ = 3509061120.

The previous prime is 10310113091. The next prime is 10310113103. The reversal of 10310113100 is 131101301.

It is a happy number.

It is a super-2 number, since 2×103101131002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10310113103) 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, 42146 + ... + 149654.

Almost surely, 210310113100 is an apocalyptic number.

10310113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10310113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12877977840).

10310113100 is an abundant number, since it is smaller than the sum of its proper divisors (15445842580).

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

10310113100 is a wasteful number, since it uses less digits than its factorization.

10310113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107667 (or 107660 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10310113100 its reverse (131101301), we get a palindrome (10441214401).

The spelling of 10310113100 in words is "ten billion, three hundred ten million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 137 140 175 274 350 548 685 700 959 1370 1918 2740 3425 3836 4795 6850 9590 13700 19180 23975 47950 95900 107509 215018 430036 537545 752563 1075090 1505126 2150180 2687725 3010252 3762815 5375450 7525630 10750900 14728733 15051260 18814075 29457466 37628150 58914932 73643665 75256300 103101131 147287330 206202262 294574660 368218325 412404524 515505655 736436650 1031011310 1472873300 2062022620 2577528275 5155056550 10310113100