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112201023100 = 225271118113381
BaseRepresentation
bin110100001111110110…
…0111011111001111100
3101201121111000112110011
41220133230323321330
53314241430214400
6123313333153004
711051305650265
oct1503754737174
9351544015404
10112201023100
1143647609371
12198b3a8b764
13a7714c913a
14560564996c
152dba4678ba
hex1a1fb3be7c

112201023100 has 72 divisors (see below), whose sum is σ = 247132994976. Its totient is φ = 44207520000.

The previous prime is 112201023089. The next prime is 112201023101. The reversal of 112201023100 is 1320102211.

It is a super-2 number, since 2×1122010231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112201023101) 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, 8378410 + ... + 8391790.

It is an arithmetic number, because the mean of its divisors is an integer number (3432402708).

Almost surely, 2112201023100 is an apocalyptic number.

112201023100 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 112201023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123566497488).

112201023100 is an abundant number, since it is smaller than the sum of its proper divisors (134931971876).

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

112201023100 is a wasteful number, since it uses less digits than its factorization.

112201023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14647 (or 14640 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 112201023100 its reverse (1320102211), we get a palindrome (113521125311).

The spelling of 112201023100 in words is "one hundred twelve billion, two hundred one million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1181 1420 1775 2362 3550 4724 5905 7100 11810 13381 23620 26762 29525 53524 59050 66905 83851 118100 133810 167702 267620 334525 335404 419255 669050 838510 950051 1338100 1677020 1900102 2096275 3800204 4192550 4750255 8385100 9500510 15802961 19001020 23751275 31605922 47502550 63211844 79014805 95005100 158029610 316059220 395074025 790148050 1122010231 1580296100 2244020462 4488040924 5610051155 11220102310 22440204620 28050255775 56100511550 112201023100