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2131202100 = 223527399613
BaseRepresentation
bin111111100000111…
…1001000000110100
312111112020021200010
41333001321000310
513331041431400
6551251020220
7103545630126
oct17701710064
95445207603
102131202100
119a400a755
124b589a670
1327c6c4041
1416308d216
15c717c450
hex7f079034

2131202100 has 72 divisors (see below), whose sum is σ = 6175264480. Its totient is φ = 567492480.

The previous prime is 2131202033. The next prime is 2131202107. The reversal of 2131202100 is 12021312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131202107) 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, 216894 + ... + 226506.

Almost surely, 22131202100 is an apocalyptic number.

2131202100 is a gapful number since it is divisible by the number (20) 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 2131202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087632240).

2131202100 is an abundant number, since it is smaller than the sum of its proper divisors (4044062380).

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

2131202100 is a wasteful number, since it uses less digits than its factorization.

2131202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10369 (or 10362 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2131202100 is about 46164.9444925476. The cubic root of 2131202100 is about 1286.8903526493.

Adding to 2131202100 its reverse (12021312), we get a palindrome (2143223412).

The spelling of 2131202100 in words is "two billion, one hundred thirty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 739 1478 2217 2956 3695 4434 7390 8868 9613 11085 14780 18475 19226 22170 28839 36950 38452 44340 48065 55425 57678 73900 96130 110850 115356 144195 192260 221700 240325 288390 480650 576780 720975 961300 1441950 2883900 7104007 14208014 21312021 28416028 35520035 42624042 71040070 85248084 106560105 142080140 177600175 213120210 355200350 426240420 532800525 710400700 1065601050 2131202100