Search a number
-
+
103020133032 = 23327591188491
BaseRepresentation
bin101111111110001111…
…0100111101010101000
3100211220122112222220200
41133330132213222220
53141441123224112
6115154330552200
710304635453035
oct1377436475250
9324818488820
10103020133032
113a7661a7813
1217b71298660
13993a422acb
144db41c838c
152a2e458cdc
hex17fc7a7aa8

103020133032 has 48 divisors (see below), whose sum is σ = 279051096480. Its totient is φ = 34335338400.

The previous prime is 103020133031. The next prime is 103020133039. The reversal of 103020133032 is 230331020301.

103020133032 is a `hidden beast` number, since 1 + 0 + 302 + 0 + 1 + 330 + 32 = 666.

It is a super-2 number, since 2×1030201330322 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103020132996 and 103020133014.

It is not an unprimeable number, because it can be changed into a prime (103020133031) 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 11 ways as a sum of consecutive naturals, for example, 452307 + ... + 640797.

It is an arithmetic number, because the mean of its divisors is an integer number (5813564510).

Almost surely, 2103020133032 is an apocalyptic number.

103020133032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103020133032 is an abundant number, since it is smaller than the sum of its proper divisors (176030963448).

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

103020133032 is a wasteful number, since it uses less digits than its factorization.

103020133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196094 (or 196087 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103020133032 its reverse (230331020301), we get a palindrome (333351153333).

The spelling of 103020133032 in words is "one hundred three billion, twenty million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7591 15182 22773 30364 45546 60728 68319 91092 136638 182184 188491 273276 376982 546552 565473 753964 1130946 1507928 1696419 2261892 3392838 4523784 6785676 13571352 1430835181 2861670362 4292505543 5723340724 8585011086 11446681448 12877516629 17170022172 25755033258 34340044344 51510066516 103020133032