Search a number
-
+
100012120011 = 341726170039
BaseRepresentation
bin101110100100100101…
…1111101011111001011
3100120011000110002210000
41131021023331133023
53114311100320021
6113540034454043
710140251664546
oct1351113753713
9316130402700
10100012120011
1139462264041
1217471a34323
13957b19424b
144baa8d785d
152905330b26
hex17492fd7cb

100012120011 has 60 divisors (see below), whose sum is σ = 161310104560. Its totient is φ = 61723088640.

The previous prime is 100012120001. The next prime is 100012120031. The reversal of 100012120011 is 110021210001.

It is a happy number.

It is not a de Polignac number, because 100012120011 - 25 = 100012119979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100012119975 and 100012120002.

It is not an unprimeable number, because it can be changed into a prime (100012120001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1392930 + ... + 1462968.

Almost surely, 2100012120011 is an apocalyptic number.

100012120011 is a deficient number, since it is larger than the sum of its proper divisors (61297984549).

100012120011 is an equidigital number, since it uses as much as digits as its factorization.

100012120011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70146 (or 70120 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100012120011 its reverse (110021210001), we get a palindrome (210033330012).

The spelling of 100012120011 in words is "one hundred billion, twelve million, one hundred twenty thousand, eleven".

Divisors: 1 3 9 17 27 51 61 81 153 183 289 459 549 867 1037 1377 1647 2601 3111 4941 7803 9333 17629 23409 27999 52887 70039 83997 158661 210117 475983 630351 1190663 1427949 1891053 3571989 4272379 5673159 10715967 12817137 20241271 32147901 38451411 60723813 72630443 96443703 115354233 182171439 217891329 346062699 546514317 653673987 1234717531 1639542951 1961021961 3704152593 5883065883 11112457779 33337373337 100012120011