Search a number
-
+
100010324897100 = 22345238346769031
BaseRepresentation
bin10110101111010101110111…
…111000111010110101001100
3111010002220010111102122110000
4112233111313320322311030
5101102032121133201400
6552412035313044300
730031336040260122
oct2657256770726514
9433086114378400
10100010324897100
1129959160160192
12b272807556690
1343a5c1923a607
141a9a750189912
15b86770e58600
hex5af577e3ad4c

100010324897100 has 360 divisors, whose sum is σ = 325741159231488. Its totient is φ = 26542443657600.

The previous prime is 100010324897099. The next prime is 100010324897177. The reversal of 100010324897100 is 1798423010001.

It is a happy number.

100010324897100 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 103 + 2 + 489 + 71 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1448739585 + ... + 1448808615.

Almost surely, 2100010324897100 is an apocalyptic number.

100010324897100 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 100010324897100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162870579615744).

100010324897100 is an abundant number, since it is smaller than the sum of its proper divisors (225730834334388).

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

100010324897100 is a wasteful number, since it uses less digits than its factorization.

100010324897100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69907 (or 69891 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 100010324897100 in words is "one hundred trillion, ten billion, three hundred twenty-four million, eight hundred ninety-seven thousand, one hundred".