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102123331110 = 23253754156687
BaseRepresentation
bin101111100011100000…
…1100101111000100110
3100202121011001201221200
41133013001211320212
53133122033043420
6114525333223330
710243465664133
oct1370701457046
9322534051850
10102123331110
113a345a5a1a9
1217960a91b46
1398266a8c98
144d2b06158a
1529ca85eb90
hex17c7065e26

102123331110 has 96 divisors (see below), whose sum is σ = 273205775232. Its totient is φ = 26447420160.

The previous prime is 102123331099. The next prime is 102123331117. The reversal of 102123331110 is 11133321201.

102123331110 is a `hidden beast` number, since 10 + 212 + 3 + 331 + 110 = 666.

It is a super-4 number, since 4×1021233311104 (a number of 45 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123331117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773187 + ... + 1829873.

It is an arithmetic number, because the mean of its divisors is an integer number (2845893492).

Almost surely, 2102123331110 is an apocalyptic number.

102123331110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102123331110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136602887616).

102123331110 is an abundant number, since it is smaller than the sum of its proper divisors (171082444122).

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

102123331110 is a wasteful number, since it uses less digits than its factorization.

102123331110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57278 (or 57275 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102123331110 its reverse (11133321201), we get a palindrome (113256652311).

Subtracting from 102123331110 its reverse (11133321201), we obtain a palindrome (90990009909).

The spelling of 102123331110 in words is "one hundred two billion, one hundred twenty-three million, three hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 541 555 666 1082 1110 1623 1665 2705 3246 3330 4869 5410 8115 9738 16230 20017 24345 40034 48690 56687 60051 100085 113374 120102 170061 180153 200170 283435 300255 340122 360306 510183 566870 600510 850305 900765 1020366 1700610 1801530 2097419 2550915 4194838 5101830 6292257 10487095 12584514 18876771 20974190 30667667 31461285 37753542 61335334 62922570 92003001 94383855 153338335 184006002 188767710 276009003 306676670 460015005 552018006 920030010 1134703679 1380045015 2269407358 2760090030 3404111037 5673518395 6808222074 10212333111 11347036790 17020555185 20424666222 34041110370 51061665555 102123331110