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100131030000 = 2432541112567
BaseRepresentation
bin101110101000001000…
…1100100001111110000
3100120110022012100121200
41131100101210033300
53120032020430000
6113555523251200
710143224466111
oct1352021441760
9316408170550
10100131030000
11395133a0961
12174a5819b00
1395999c8ca1
144bbc60c208
1529109bd500
hex17504643f0

100131030000 has 150 divisors (see below), whose sum is σ = 350172990024. Its totient is φ = 26701584000.

The previous prime is 100131029983. The next prime is 100131030007. The reversal of 100131030000 is 30131001.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131030007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 466284 + ... + 646283.

Almost surely, 2100131030000 is an apocalyptic number.

100131030000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131030000 is an abundant number, since it is smaller than the sum of its proper divisors (250041960024).

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

100131030000 is a wasteful number, since it uses less digits than its factorization.

100131030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112601 (or 1112577 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 100131030000 its reverse (30131001), we get a palindrome (100161161001).

The spelling of 100131030000 in words is "one hundred billion, one hundred thirty-one million, thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 1112567 2225134 3337701 4450268 5562835 6675402 8900536 10013103 11125670 13350804 16688505 17801072 20026206 22251340 26701608 27814175 33377010 40052412 44502680 50065515 53403216 55628350 66754020 80104824 83442525 89005360 100131030 111256700 133508040 139070875 160209648 166885050 200262060 222513400 250327575 267016080 278141750 333770100 400524120 417212625 445026800 500655150 556283500 667540200 695354375 801048240 834425250 1001310300 1112567000 1251637875 1335080400 1390708750 1668850500 2002620600 2086063125 2225134000 2503275750 2781417500 3337701000 4005241200 4172126250 5006551500 5562835000 6258189375 6675402000 8344252500 10013103000 11125670000 12516378750 16688505000 20026206000 25032757500 33377010000 50065515000 100131030000