Search a number
-
+
103133112033 = 3717322189689
BaseRepresentation
bin110000000001100110…
…1100110011011100001
3100212012112010220222010
41200003031212123201
53142204034041113
6115213444303133
710310506662630
oct1400315463341
9325175126863
10103133112033
113a813a53596
1217ba30a1aa9
13995795c0a3
144dc51d7517
152a393241c3
hex18033666e1

103133112033 has 32 divisors (see below), whose sum is σ = 166453159680. Its totient is φ = 55448709120.

The previous prime is 103133112007. The next prime is 103133112109. The reversal of 103133112033 is 330211331301.

It is not a de Polignac number, because 103133112033 - 28 = 103133111777 is a prime.

It is a super-2 number, since 2×1031331120332 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103133112233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105053 + ... + 1194741.

It is an arithmetic number, because the mean of its divisors is an integer number (5201661240).

Almost surely, 2103133112033 is an apocalyptic number.

It is an amenable number.

103133112033 is a deficient number, since it is larger than the sum of its proper divisors (63320047647).

103133112033 is a wasteful number, since it uses less digits than its factorization.

103133112033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92937.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103133112033 its reverse (330211331301), we get a palindrome (433344443334).

The spelling of 103133112033 in words is "one hundred three billion, one hundred thirty-three million, one hundred twelve thousand, thirty-three".

Divisors: 1 3 7 17 21 51 119 357 3221 9663 22547 54757 67641 89689 164271 269067 383299 627823 1149897 1524713 1883469 4574139 10672991 32018973 288888269 866664807 2022217883 4911100573 6066653649 14733301719 34377704011 103133112033