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102123223312 = 241123177714197
BaseRepresentation
bin101111100011100000…
…1001011100100010000
3100202121010212021002011
41133013001023210100
53133122021121222
6114525331032304
710243465034635
oct1370701134420
9322533767064
10102123223312
113a345996210
1217960a3b694
13982666bbb6
144d2b03418c
1529ca83cc77
hex17c704b910

102123223312 has 80 divisors (see below), whose sum is σ = 225378824832. Its totient is φ = 44373288960.

The previous prime is 102123223249. The next prime is 102123223313. The reversal of 102123223312 is 213322321201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (102123223313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7186198 + ... + 7200394.

Almost surely, 2102123223312 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 102123223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112689412416).

102123223312 is an abundant number, since it is smaller than the sum of its proper divisors (123255601520).

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

102123223312 is a wasteful number, since it uses less digits than its factorization.

102123223312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16016 (or 16010 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102123223312 its reverse (213322321201), we get a palindrome (315445544513).

The spelling of 102123223312 in words is "one hundred two billion, one hundred twenty-three million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 1777 2024 3554 4048 7108 14197 14216 19547 28394 28432 39094 40871 56788 78188 81742 113576 156167 156376 163484 227152 312334 312752 326531 326968 449581 624668 653062 653936 899162 1249336 1306124 1798324 2498672 2612248 3591841 3596648 5224496 7183682 7193296 14367364 25228069 28734728 50456138 57469456 100912276 201824552 277508759 403649104 555017518 580245587 1110035036 1160491174 2220070072 2320982348 4440140144 4641964696 6382701457 9283929392 12765402914 25530805828 51061611656 102123223312