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100131012000 = 2533536115199
BaseRepresentation
bin101110101000001000…
…1011111110110100000
3100120110022011102221000
41131100101133312200
53120032014341000
6113555523032000
710143224362455
oct1352021376640
9316408142830
10100131012000
1139513389388
12174a580b600
1395999c0a36
144bbc60582c
1529109b8000
hex175045fda0

100131012000 has 384 divisors, whose sum is σ = 370476288000. Its totient is φ = 26262144000.

The previous prime is 100131011999. The next prime is 100131012031. The reversal of 100131012000 is 210131001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6580401 + ... + 6595599.

It is an arithmetic number, because the mean of its divisors is an integer number (964782000).

Almost surely, 2100131012000 is an apocalyptic number.

100131012000 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 100131012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144000).

100131012000 is an abundant number, since it is smaller than the sum of its proper divisors (270345276000).

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

100131012000 is a wasteful number, since it uses less digits than its factorization.

100131012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15294 (or 15270 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100131012000 its reverse (210131001), we get a palindrome (100341143001).

The spelling of 100131012000 in words is "one hundred billion, one hundred thirty-one million, twelve thousand".