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101131100020 = 225971011035011
BaseRepresentation
bin101111000101111100…
…0100001111101110100
3100200001000000011210001
41132023320201331310
53124104030200040
6114243050241044
710210060111126
oct1361370417564
9320030004701
10101131100020
1139986962305
1217724726184
1396c8c5bcb2
144c75377216
15296d6b559a
hex178be21f74

101131100020 has 96 divisors (see below), whose sum is σ = 218836590336. Its totient is φ = 39246336000.

The previous prime is 101131100017. The next prime is 101131100023. The reversal of 101131100020 is 20001131101.

It is an interprime number because it is at equal distance from previous prime (101131100017) and next prime (101131100023).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131100023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20179315 + ... + 20184325.

It is an arithmetic number, because the mean of its divisors is an integer number (2279547816).

Almost surely, 2101131100020 is an apocalyptic number.

101131100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101131100020 is an abundant number, since it is smaller than the sum of its proper divisors (117705490316).

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

101131100020 is a wasteful number, since it uses less digits than its factorization.

101131100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321 (or 5319 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101131100020 its reverse (20001131101), we get a palindrome (121132231121).

The spelling of 101131100020 in words is "one hundred one billion, one hundred thirty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 97 101 103 194 202 206 388 404 412 485 505 515 970 1010 1030 1940 2020 2060 5011 9797 9991 10022 10403 19594 19982 20044 20806 25055 39188 39964 41612 48985 49955 50110 52015 97970 99910 100220 104030 195940 199820 208060 486067 506111 516133 972134 1009091 1012222 1032266 1944268 2018182 2024444 2064532 2430335 2530555 2580665 4036364 4860670 5045455 5061110 5161330 9721340 10090910 10122220 10322660 20181820 49092767 50064901 52129433 98185534 100129802 104258866 196371068 200259604 208517732 245463835 250324505 260647165 490927670 500649010 521294330 981855340 1001298020 1042588660 5056555001 10113110002 20226220004 25282775005 50565550010 101131100020