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1331120100 = 223524437067
BaseRepresentation
bin100111101010111…
…0100011111100100
310102202201220111110
41033111310133210
510211231320400
6340030305020
744662222422
oct11725643744
93382656443
101331120100
11623423262
12311958170
13182a12a3b
14c8b02112
157bcdae50
hex4f5747e4

1331120100 has 36 divisors (see below), whose sum is σ = 3851375024. Its totient is φ = 354965280.

The previous prime is 1331120081. The next prime is 1331120113. The reversal of 1331120100 is 10211331.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2218234 + ... + 2218833.

Almost surely, 21331120100 is an apocalyptic number.

1331120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331120100 is an abundant number, since it is smaller than the sum of its proper divisors (2520254924).

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

1331120100 is a wasteful number, since it uses less digits than its factorization.

1331120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4437084 (or 4437077 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1331120100 is about 36484.5186346209. The cubic root of 1331120100 is about 1100.0330844044.

Adding to 1331120100 its reverse (10211331), we get a palindrome (1341331431).

It can be divided in two parts, 13311 and 20100, that added together give a triangular number (33411 = T258).

The spelling of 1331120100 in words is "one billion, three hundred thirty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4437067 8874134 13311201 17748268 22185335 26622402 44370670 53244804 66556005 88741340 110926675 133112010 221853350 266224020 332780025 443706700 665560050 1331120100