Search a number
-
+
10001132030106 = 2327375112116021
BaseRepresentation
bin1001000110001001000111…
…1011000000100010011010
31022102002200002100100012100
42101202101323000202122
52302324304244430411
633134242344224230
72051362242422520
oct221422173004232
938362602310170
1010001132030106
113206502335a98
121156352a6b076
13577144842219
142680b3608310
15125244504456
hex91891ec089a

10001132030106 has 48 divisors (see below), whose sum is σ = 24765379786368. Its totient is φ = 2857388767200.

The previous prime is 10001132030017. The next prime is 10001132030107. The reversal of 10001132030106 is 60103023110001.

It is a super-2 number, since 2×100011320301062 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10001132030107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3668376 + ... + 5784396.

It is an arithmetic number, because the mean of its divisors is an integer number (515945412216).

Almost surely, 210001132030106 is an apocalyptic number.

10001132030106 is an abundant number, since it is smaller than the sum of its proper divisors (14764247756262).

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

10001132030106 is a wasteful number, since it uses less digits than its factorization.

10001132030106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153547 (or 2153544 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10001132030106 its reverse (60103023110001), we get a palindrome (70104155140107).

The spelling of 10001132030106 in words is "ten trillion, one billion, one hundred thirty-two million, thirty thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 37511 75022 112533 225066 262577 337599 525154 675198 787731 1575462 2116021 2363193 4232042 4726386 6348063 12696126 14812147 19044189 29624294 38088378 44436441 88872882 133309323 266618646 79374063731 158748127462 238122191193 476244382386 555618446117 714366573579 1111236892234 1428733147158 1666855338351 3333710676702 5000566015053 10001132030106