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113101033020 = 22353172783641
BaseRepresentation
bin110100101010101011…
…0001100111000111100
3101210221012112202221220
41221111112030320330
53323112331024040
6123542523353340
711112514630023
oct1512526147074
9353835482856
10113101033020
1143a69648118
1219b05382850
13a885ac71a1
14568cda98ba
152e1e4972d0
hex1a5558ce3c

113101033020 has 96 divisors (see below), whose sum is σ = 327352037376. Its totient is φ = 29146867200.

The previous prime is 113101032971. The next prime is 113101033027. The reversal of 113101033020 is 20330101311.

It is a super-2 number, since 2×1131010330202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113101033027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1310400 + ... + 1394040.

It is an arithmetic number, because the mean of its divisors is an integer number (3409917056).

Almost surely, 2113101033020 is an apocalyptic number.

113101033020 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 113101033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163676018688).

113101033020 is an abundant number, since it is smaller than the sum of its proper divisors (214251004356).

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

113101033020 is a wasteful number, since it uses less digits than its factorization.

113101033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84411 (or 84409 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 113101033020 its reverse (20330101311), we get a palindrome (133431134331).

The spelling of 113101033020 in words is "one hundred thirteen billion, one hundred one million, thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 727 930 1454 1860 2181 2908 3635 4362 7270 8724 10905 14540 21810 22537 43620 45074 67611 83641 90148 112685 135222 167282 225370 250923 270444 334564 338055 418205 450740 501846 676110 836410 1003692 1254615 1352220 1672820 2509230 2592871 5018460 5185742 7778613 10371484 12964355 15557226 25928710 31114452 38893065 51857420 60807007 77786130 121614014 155572260 182421021 243228028 304035035 364842042 608070070 729684084 912105105 1216140140 1824210210 1885017217 3648420420 3770034434 5655051651 7540068868 9425086085 11310103302 18850172170 22620206604 28275258255 37700344340 56550516510 113101033020