Search a number
-
+
100101111000992 = 2519732255342263
BaseRepresentation
bin10110110000101010011011…
…001010011010111110100000
3111010102120110112111120101022
4112300222123022122332200
5101110024033404012432
6552521452054225012
730041031563362553
oct2660523312327640
9433376415446338
10100101111000992
1129993708590812
12b288323655168
1343b1656b8870a
141aa0cc363669a
15b88cd6314b12
hex5b0a9b29afa0

100101111000992 has 48 divisors (see below), whose sum is σ = 210288112695360. Its totient is φ = 46766777144832.

The previous prime is 100101111000977. The next prime is 100101111001043. The reversal of 100101111000992 is 299000111101001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1127626748 + ... + 1127715515.

It is an arithmetic number, because the mean of its divisors is an integer number (4381002347820).

Almost surely, 2100101111000992 is an apocalyptic number.

It is an amenable number.

100101111000992 is an abundant number, since it is smaller than the sum of its proper divisors (110187001694368).

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

100101111000992 is a wasteful number, since it uses less digits than its factorization.

100101111000992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255342365 (or 2255342357 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 26.

Adding to 100101111000992 its reverse (299000111101001), we get a palindrome (399101222101993).

The spelling of 100101111000992 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, nine hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 19 32 38 73 76 146 152 292 304 584 608 1168 1387 2336 2774 5548 11096 22192 44384 2255342263 4510684526 9021369052 18042738104 36085476208 42851502997 72170952416 85703005994 164639985199 171406011988 329279970398 342812023976 658559940796 685624047952 1317119881592 1371248095904 2634239763184 3128159718781 5268479526368 6256319437562 12512638875124 25025277750248 50050555500496 100101111000992