Search a number
-
+
102133211120 = 2451276665139
BaseRepresentation
bin101111100011110011…
…1010001111111110000
3100202121211122200202222
41133013213101333300
53133132100223440
6114530325100212
710243645653623
oct1370747217760
9322554580688
10102133211120
113a3505981a6
1217964257668
139828758045
144d2c4b3dba
1529cb6622b5
hex17c79d1ff0

102133211120 has 20 divisors (see below), whose sum is σ = 237459716040. Its totient is φ = 40853284416.

The previous prime is 102133211077. The next prime is 102133211129. The reversal of 102133211120 is 21112331201.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133211129) 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 3 ways as a sum of consecutive naturals, for example, 638332490 + ... + 638332649.

It is an arithmetic number, because the mean of its divisors is an integer number (11872985802).

Almost surely, 2102133211120 is an apocalyptic number.

102133211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133211120 is an abundant number, since it is smaller than the sum of its proper divisors (135326504920).

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

102133211120 is a wasteful number, since it uses less digits than its factorization.

102133211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276665152 (or 1276665146 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102133211120 its reverse (21112331201), we get a palindrome (123245542321).

The spelling of 102133211120 in words is "one hundred two billion, one hundred thirty-three million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1276665139 2553330278 5106660556 6383325695 10213321112 12766651390 20426642224 25533302780 51066605560 102133211120