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100131111000 = 23325385313043
BaseRepresentation
bin101110101000001000…
…1111000000001011000
3100120110022100110201200
41131100101320001120
53120032031023000
6113555525114200
710143225254214
oct1352021700130
9316408313650
10100131111000
11395134467a8
12174a5858960
139599a26b0b
144bbc62d944
1529109d7500
hex1750478058

100131111000 has 192 divisors, whose sum is σ = 338865901920. Its totient is φ = 26668281600.

The previous prime is 100131110969. The next prime is 100131111011. The reversal of 100131111000 is 111131001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7670479 + ... + 7683521.

Almost surely, 2100131111000 is an apocalyptic number.

100131111000 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 100131111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169432950960).

100131111000 is an abundant number, since it is smaller than the sum of its proper divisors (238734790920).

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

100131111000 is a wasteful number, since it uses less digits than its factorization.

100131111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13923 (or 13906 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100131111000 its reverse (111131001), we get a palindrome (100242242001).

The spelling of 100131111000 in words is "one hundred billion, one hundred thirty-one million, one hundred eleven thousand".