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3100113100 = 225275383561
BaseRepresentation
bin1011100011000111…
…1111100011001100
322000001102001200201
42320301333203030
522322112104400
61231342103244
7136552345420
oct27061774314
98001361621
103100113100
111350a29947
1272627ab24
133a5367666
14215a26b80
1513226c06a
hexb8c7f8cc

3100113100 has 72 divisors (see below), whose sum is σ = 7833436128. Its totient is φ = 1042828800.

The previous prime is 3100113097. The next prime is 3100113109. The reversal of 3100113100 is 13110013.

It is a super-2 number, since 2×31001131002 = 19221402465583220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3100113109) 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, 4681 + ... + 78880.

It is an arithmetic number, because the mean of its divisors is an integer number (108797724).

Almost surely, 23100113100 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 3100113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916718064).

3100113100 is an abundant number, since it is smaller than the sum of its proper divisors (4733323028).

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

3100113100 is a wasteful number, since it uses less digits than its factorization.

3100113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83635 (or 83628 counting only the distinct ones).

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

The square root of 3100113100 is about 55678.6592870195. The cubic root of 3100113100 is about 1458.1174679853.

Adding to 3100113100 its reverse (13110013), we get a palindrome (3113223113).

The spelling of 3100113100 in words is "three billion, one hundred million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 100 106 140 175 212 265 350 371 530 700 742 1060 1325 1484 1855 2650 3710 5300 7420 9275 18550 37100 83561 167122 334244 417805 584927 835610 1169854 1671220 2089025 2339708 2924635 4178050 4428733 5849270 8356100 8857466 11698540 14623175 17714932 22143665 29246350 31001131 44287330 58492700 62002262 88574660 110718325 124004524 155005655 221436650 310011310 442873300 620022620 775028275 1550056550 3100113100