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101131144020 = 22325678385667
BaseRepresentation
bin101111000101111100…
…0101100101101010100
3100200001000002102010200
41132023320230231110
53124104033102040
6114243051220500
710210060353324
oct1361370545524
9320030072120
10101131144020
1139986992375
1217724747730
1396c8c7602a
144c75389284
15296d6c3630
hex178be2cb54

101131144020 has 72 divisors (see below), whose sum is σ = 311343081504. Its totient is φ = 26565789888.

The previous prime is 101131144013. The next prime is 101131144057. The reversal of 101131144020 is 20441131101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101131143984 and 101131144002.

It is a congruent number.

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, 4180774 + ... + 4204893.

Almost surely, 2101131144020 is an apocalyptic number.

101131144020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101131144020 is an abundant number, since it is smaller than the sum of its proper divisors (210211937484).

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

101131144020 is a wasteful number, since it uses less digits than its factorization.

101131144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8385749 (or 8385744 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101131144020 its reverse (20441131101), we get a palindrome (121572275121).

The spelling of 101131144020 in words is "one hundred one billion, one hundred thirty-one million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 8385667 16771334 25157001 33542668 41928335 50314002 75471003 83856670 100628004 125785005 150942006 167713340 251570010 301884012 377355015 503140020 561839689 754710030 1123679378 1509420060 1685519067 2247358756 2809198445 3371038134 5056557201 5618396890 6742076268 8427595335 10113114402 11236793780 16855190670 20226228804 25282786005 33710381340 50565572010 101131144020