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100311023130000 = 2435428111899291
BaseRepresentation
bin10110110011101101111010…
…111001101001010110010000
3111011011122021200012120122220
4112303231322321221112100
5101121443433410130000
6553202125311501040
730062142444134064
oct2663557271512620
9434148250176586
10100311023130000
1129a647364aa171
12b300b46827780
1343c839a90a187
141aab117d25aa4
15b8e4bea8b1a0
hex5b3b7ae69590

100311023130000 has 200 divisors, whose sum is σ = 324969759714336. Its totient is φ = 26654409600000.

The previous prime is 100311023129971. The next prime is 100311023130107. The reversal of 100311023130000 is 31320113001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1003110231300002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2480355 + ... + 14379645.

Almost surely, 2100311023130000 is an apocalyptic number.

100311023130000 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 100311023130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162484879857168).

100311023130000 is an abundant number, since it is smaller than the sum of its proper divisors (224658736584336).

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

100311023130000 is a wasteful number, since it uses less digits than its factorization.

100311023130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11899603 (or 11899582 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100311023130000 its reverse (31320113001), we get a palindrome (100342343243001).

The spelling of 100311023130000 in words is "one hundred trillion, three hundred eleven billion, twenty-three million, one hundred thirty thousand".