Search a number
-
+
101233069056 = 21036719373
BaseRepresentation
bin101111001000111110…
…1100000110000000000
3100200022002212202000000
41132101331200300000
53124311131202211
6114301132000000
710212435614010
oct1362175406000
9320262782000
10101233069056
1139a29479139
1217752900000
139714111ac2
144c84b1bc40
152977608656
hex1791f60c00

101233069056 has 308 divisors, whose sum is σ = 346774606032. Its totient is φ = 28922241024.

The previous prime is 101233069033. The next prime is 101233069061. The reversal of 101233069056 is 650960332101.

It is a super-2 number, since 2×1012330690562 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101233069056.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5215786 + ... + 5235158.

Almost surely, 2101233069056 is an apocalyptic number.

101233069056 is a gapful number since it is divisible by the number (16) 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 101233069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173387303016).

101233069056 is an abundant number, since it is smaller than the sum of its proper divisors (245541536976).

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

101233069056 is an frugal number, since it uses more digits than its factorization.

101233069056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19418 (or 19385 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 101233069056 in words is "one hundred one billion, two hundred thirty-three million, sixty-nine thousand, fifty-six".