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101984060880 = 24345131210637
BaseRepresentation
bin101111011111010111…
…0010100010111010000
3100202020110000002010000
41132332232110113100
53132330404422010
6114503440210000
710240155133362
oct1367656242720
9322213002100
10101984060880
113a284386439
1217922309900
139803895b70
144d1676ad32
1529bd4ee7c0
hex17beb945d0

101984060880 has 200 divisors, whose sum is σ = 381452663592. Its totient is φ = 25103748096.

The previous prime is 101984060819. The next prime is 101984060909. The reversal of 101984060880 is 88060489101.

It can be written as a sum of positive squares in 4 ways, for example, as 5282963856 + 96701097024 = 72684^2 + 310968^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 521079 + ... + 689558.

Almost surely, 2101984060880 is an apocalyptic number.

101984060880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101984060880 is an abundant number, since it is smaller than the sum of its proper divisors (279468602712).

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

101984060880 is a wasteful number, since it uses less digits than its factorization.

101984060880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210675 (or 1210660 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 101984060880 in words is "one hundred one billion, nine hundred eighty-four million, sixty thousand, eight hundred eighty".