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10310103100 = 22521110319091
BaseRepresentation
bin10011001101000011…
…11011000000111100
3222121112021111121101
421212201323000330
5132103341244400
64423021142444
7513331300423
oct114641730074
928545244541
1010310103100
11441086a070
121bb89baa24
13c84014a2b
146db4062ba
1540521556a
hex26687b03c

10310103100 has 72 divisors (see below), whose sum is σ = 24433186176. Its totient is φ = 3745080000.

The previous prime is 10310103079. The next prime is 10310103103. The reversal of 10310103100 is 130101301.

It is a super-2 number, since 2×103101031002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310103103) 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, 1129555 + ... + 1138645.

It is an arithmetic number, because the mean of its divisors is an integer number (339349808).

Almost surely, 210310103100 is an apocalyptic number.

10310103100 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 10310103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12216593088).

10310103100 is an abundant number, since it is smaller than the sum of its proper divisors (14123083076).

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

10310103100 is a wasteful number, since it uses less digits than its factorization.

10310103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10147 (or 10140 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10310103100 its reverse (130101301), we get a palindrome (10440204401).

The spelling of 10310103100 in words is "ten billion, three hundred ten million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1031 1100 2062 4124 5155 9091 10310 11341 18182 20620 22682 25775 36364 45364 45455 51550 56705 90910 100001 103100 113410 181820 200002 226820 227275 283525 400004 454550 500005 567050 909100 1000010 1134100 2000020 2500025 5000050 9372821 10000100 18745642 37491284 46864105 93728210 103101031 187456420 206202062 234320525 412404124 468641050 515505155 937282100 1031010310 2062020620 2577525775 5155051550 10310103100