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20131230013100 = 225213910289140761
BaseRepresentation
bin1001001001111001010101…
…10100000101011010101100
32122021112020000212220001022
410210330222310011122230
510114312224340404400
6110452054232433312
74145301434516153
oct444745264053254
978245200786038
1020131230013100
116461674582218
122311698248838
13b3049cc5a96b
144d84dcc2a59a
1524d9d5bb2b85
hex124f2ad056ac

20131230013100 has 72 divisors (see below), whose sum is σ = 44003636972400. Its totient is φ = 7993726617600.

The previous prime is 20131230013099. The next prime is 20131230013127. The reversal of 20131230013100 is 131003213102.

It is a super-2 number, since 2×201312300131002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142946720 + ... + 143087480.

Almost surely, 220131230013100 is an apocalyptic number.

20131230013100 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 20131230013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22001818486200).

20131230013100 is an abundant number, since it is smaller than the sum of its proper divisors (23872406959300).

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

20131230013100 is a wasteful number, since it uses less digits than its factorization.

20131230013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151203 (or 151196 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 20131230013100 its reverse (131003213102), we get a palindrome (20262233226202).

The spelling of 20131230013100 in words is "twenty trillion, one hundred thirty-one billion, two hundred thirty million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 2780 3475 6950 10289 13900 20578 41156 51445 102890 140761 205780 257225 281522 514450 563044 703805 1028900 1407610 1430171 2815220 2860342 3519025 5720684 7038050 7150855 14076100 14301710 19565779 28603420 35754275 39131558 71508550 78263116 97828895 143017100 195657790 391315580 489144475 978288950 1448289929 1956577900 2896579858 5793159716 7241449645 14482899290 28965798580 36207248225 72414496450 144828992900 201312300131 402624600262 805249200524 1006561500655 2013123001310 4026246002620 5032807503275 10065615006550 20131230013100