Search a number
-
+
102123034112 = 2911148312227
BaseRepresentation
bin101111100011100000…
…0011101011000000000
3100202121010111122112202
41133013000131120000
53133121444042422
6114525323012332
710243463316221
oct1370700353000
9322533448482
10102123034112
113a345877050
121796096a0a8
139826603a48
144d2adc5248
1529ca801b92
hex17c701d600

102123034112 has 80 divisors (see below), whose sum is σ = 222764617152. Its totient is φ = 46384465920.

The previous prime is 102123034081. The next prime is 102123034147. The reversal of 102123034112 is 211430321201.

It is a super-2 number, since 2×1021230341122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8346143 + ... + 8358369.

Almost surely, 2102123034112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102123034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111382308576).

102123034112 is an abundant number, since it is smaller than the sum of its proper divisors (120641583040).

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

102123034112 is a wasteful number, since it uses less digits than its factorization.

102123034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13739 (or 13723 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 102123034112 its reverse (211430321201), we get a palindrome (313553355313).

The spelling of 102123034112 in words is "one hundred two billion, one hundred twenty-three million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 1483 2816 2966 5632 5932 11864 12227 16313 23728 24454 32626 47456 48908 65252 94912 97816 130504 134497 189824 195632 261008 268994 379648 391264 522016 537988 759296 782528 1044032 1075976 1565056 2088064 2151952 3130112 4176128 4303904 6260224 8352256 8607808 17215616 18132641 34431232 36265282 68862464 72530564 145061128 199459051 290122256 398918102 580244512 797836204 1160489024 1595672408 2320978048 3191344816 4641956096 6382689632 9283912192 12765379264 25530758528 51061517056 102123034112