Search a number
-
+
101100033113310 = 232571129503060323
BaseRepresentation
bin10110111111001100101111…
…100011110111110011011110
3111020222001212010200121221100
4112333030233203313303132
5101222410331434111220
6555004414122013530
730203144032263120
oct2677145743676336
9436861763617840
10101100033113310
112a239313024740
12b409a446472a6
1344548cca4629a
141ad73a6859210
15ba4c9d111d90
hex5bf32f8f7cde

101100033113310 has 192 divisors, whose sum is σ = 339022413550080. Its totient is φ = 20283392183040.

The previous prime is 101100033113293. The next prime is 101100033113327. The reversal of 101100033113310 is 13311330001101.

101100033113310 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 0 + 0 + 331 + 1 + 331 + 0 = 666.

101100033113310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101100033113293) and next prime (101100033113327).

It is a super-2 number, since 2×1011000331133102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251329192 + ... + 251731131.

It is an arithmetic number, because the mean of its divisors is an integer number (1765741737240).

Almost surely, 2101100033113310 is an apocalyptic number.

101100033113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100033113310 is an abundant number, since it is smaller than the sum of its proper divisors (237922380436770).

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

101100033113310 is a wasteful number, since it uses less digits than its factorization.

101100033113310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503060383 (or 503060380 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 101100033113310 its reverse (13311330001101), we get a palindrome (114411363114411).

The spelling of 101100033113310 in words is "one hundred one trillion, one hundred billion, thirty-three million, one hundred thirteen thousand, three hundred ten".