Search a number
-
+
103424980546800 = 243252112611741933
BaseRepresentation
bin10111100001000010000001…
…001110011111010011110000
3111120012022221201110102202200
4113201002001032133103300
5102024003330004444200
61003544440302143200
730533131301351013
oct2741020116372360
9446168851412680
10103424980546800
112aa55319264850
12b724554881b00
134592c1a799103
141b77b1d82d37a
15be54c3a3a800
hex5e108139f4f0

103424980546800 has 180 divisors, whose sum is σ = 391541903777544. Its totient is φ = 25072722547200.

The previous prime is 103424980546793. The next prime is 103424980546807. The reversal of 103424980546800 is 8645089424301.

103424980546800 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 2 + 4 + 98 + 0 + 546 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103424980546793) and next prime (103424980546807).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1034249805468002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103424980546807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1305831367 + ... + 1305910566.

Almost surely, 2103424980546800 is an apocalyptic number.

103424980546800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103424980546800 is an abundant number, since it is smaller than the sum of its proper divisors (288116923230744).

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

103424980546800 is a wasteful number, since it uses less digits than its factorization.

103424980546800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611741968 (or 2611741954 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 103424980546800 in words is "one hundred three trillion, four hundred twenty-four billion, nine hundred eighty million, five hundred forty-six thousand, eight hundred".