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100000000000000 = 214514
BaseRepresentation
bin10110101111001100010000…
…011110100100000000000000
3111010001220110221022112021201
4112233030100132210000000
5101101400000000000000
6552403211002430544
730030522136142242
oct2657142036440000
9433056427275251
10100000000000000
1129954842007181
12b270805802454
1343a4c62145c49
141a9a050c12092
15b863697be96a
hex5af3107a4000

100000000000000 has 225 divisors, whose sum is σ = 249992370597277. Its totient is φ = 40000000000000.

The previous prime is 99999999999973. The next prime is 100000000000031. The reversal of 100000000000000 is 1.

It is a happy number.

The square root of 100000000000000 is 10000000.

It is a perfect power (a square, a 7-th power, a 14-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 95740432367616 + 4259567632384 = 9784704^2 + 2063872^2 .

It is a Harshad number since it is a multiple of its sum of digits (1).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19999999999998 + ... + 20000000000002.

Almost surely, 2100000000000000 is an apocalyptic number.

100000000000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100000000000000 is the 10000000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000000000000

100000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (149992370597277).

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

100000000000000 is an frugal number, since it uses more digits than its factorization.

100000000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 1.

The spelling of 100000000000000 in words is "one hundred trillion", and thus it is an aban number.