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102123048834 = 233235311871307
BaseRepresentation
bin101111100011100000…
…0100000111110000010
3100202121010112101202000
41133013000200332002
53133122000030314
6114525323204430
710243463410152
oct1370700407602
9322533471660
10102123048834
113a345887114
1217960976716
13982660a661
144d2adca762
1529ca806209
hex17c7020f82

102123048834 has 128 divisors (see below), whose sum is σ = 241663150080. Its totient is φ = 31895278272.

The previous prime is 102123048823. The next prime is 102123048877. The reversal of 102123048834 is 438840321201.

It is a happy number.

102123048834 is a `hidden beast` number, since 102 + 12 + 30 + 488 + 34 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78134809 + ... + 78136115.

It is an arithmetic number, because the mean of its divisors is an integer number (1887993360).

Almost surely, 2102123048834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102123048834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120831575040).

102123048834 is an abundant number, since it is smaller than the sum of its proper divisors (139540101246).

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

102123048834 is a wasteful number, since it uses less digits than its factorization.

102123048834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 102123048834 in words is "one hundred two billion, one hundred twenty-three million, forty-eight thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 53 54 69 106 138 159 207 318 414 477 621 954 1187 1219 1242 1307 1431 2374 2438 2614 2862 3561 3657 3921 7122 7314 7842 10683 10971 11763 21366 21942 23526 27301 30061 32049 32913 35289 54602 60122 62911 64098 65826 69271 70578 81903 90183 125822 138542 163806 180366 188733 207813 245709 270549 377466 415626 491418 541098 566199 623439 737127 811647 1132398 1246878 1446953 1474254 1551409 1593233 1623294 1698597 1870317 2893906 3102818 3186466 3397194 3740634 4340859 4654227 4779699 8681718 9308454 9559398 13022577 13962681 14339097 26045154 27925362 28678194 35682407 39067731 41888043 43017291 71364814 78135462 82224677 83776086 86034582 107047221 164449354 214094442 246674031 321141663 493348062 642283326 740022093 963424989 1480044186 1891167571 1926849978 2220066279 3782335142 4440132558 5673502713 11347005426 17020508139 34041016278 51061524417 102123048834