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100630987776 = 21032112314171
BaseRepresentation
bin101110110111000010…
…0110000010000000000
3100121202010221211202100
41131232010300100000
53122043013102101
6114121303150400
710161505166004
oct1355604602000
9317663854670
10100630987776
113974a629600
1217605145400
139649467aa7
144c28b92704
15293e828e86
hex176e130400

100630987776 has 792 divisors, whose sum is σ = 342487401984. Its totient is φ = 28385280000.

The previous prime is 100630987771. The next prime is 100630987781. The reversal of 100630987776 is 677789036001.

100630987776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100630987771) and next prime (100630987781).

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×1006309877762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100630987771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1417337821 + ... + 1417337891.

Almost surely, 2100630987776 is an apocalyptic number.

100630987776 is a gapful number since it is divisible by the number (16) 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 100630987776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171243700992).

100630987776 is an abundant number, since it is smaller than the sum of its proper divisors (241856414208).

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

100630987776 is a wasteful number, since it uses less digits than its factorization.

100630987776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 100630987776 in words is "one hundred billion, six hundred thirty million, nine hundred eighty-seven thousand, seven hundred seventy-six".