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101131030200 = 23352198871143
BaseRepresentation
bin101111000101111100…
…0010000111010111000
3100200000222212122000010
41132023320100322320
53124104020431300
6114243044541520
710210056400434
oct1361370207270
9320028778003
10101131030200
1139986914902
12177246b18a0
1396c8c36295
144c753599c4
15296d69ea50
hex178be10eb8

101131030200 has 96 divisors (see below), whose sum is σ = 330006556800. Its totient is φ = 25548888960.

The previous prime is 101131030183. The next prime is 101131030237. The reversal of 101131030200 is 2030131101.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4424172 + ... + 4446971.

It is an arithmetic number, because the mean of its divisors is an integer number (3437568300).

Almost surely, 2101131030200 is an apocalyptic number.

101131030200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101131030200 is an abundant number, since it is smaller than the sum of its proper divisors (228875526600).

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

101131030200 is a wasteful number, since it uses less digits than its factorization.

101131030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8871181 (or 8871172 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101131030200 its reverse (2030131101), we get a palindrome (103161161301).

The spelling of 101131030200 in words is "one hundred one billion, one hundred thirty-one million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 8871143 17742286 26613429 35484572 44355715 53226858 70969144 88711430 106453716 133067145 168551717 177422860 212907432 221778575 266134290 337103434 354845720 443557150 505655151 532268580 665335725 674206868 842758585 887114300 1011310302 1064537160 1330671450 1348413736 1685517170 1774228600 2022620604 2528275755 2661342900 3371034340 4045241208 4213792925 5056551510 5322685800 6742068680 8427585850 10113103020 12641378775 16855171700 20226206040 25282757550 33710343400 50565515100 101131030200