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102123421434 = 2332329673697
BaseRepresentation
bin101111100011100000…
…1111011111011111010
3100202121011020022212000
41133013001323323322
53133122043441214
6114525335201430
710243466521356
oct1370701737372
9322534208760
10102123421434
113a346011051
1217960b16276
13982670b128
144d2b086466
1529ca87b809
hex17c707befa

102123421434 has 96 divisors (see below), whose sum is σ = 237546503040. Its totient is φ = 32518620288.

The previous prime is 102123421429. The next prime is 102123421441. The reversal of 102123421434 is 434124321201.

102123421434 is a `hidden beast` number, since 10 + 212 + 3 + 4 + 2 + 1 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102123421398 and 102123421407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27621474 + ... + 27625170.

It is an arithmetic number, because the mean of its divisors is an integer number (2474442740).

Almost surely, 2102123421434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102123421434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118773251520).

102123421434 is an abundant number, since it is smaller than the sum of its proper divisors (135423081606).

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

102123421434 is a wasteful number, since it uses less digits than its factorization.

102123421434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102123421434 its reverse (434124321201), we get a palindrome (536247742635).

The spelling of 102123421434 in words is "one hundred two billion, one hundred twenty-three million, four hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 529 621 967 1058 1242 1587 1934 2901 3174 3697 4761 5802 7394 8703 9522 11091 14283 17406 22182 22241 26109 28566 33273 44482 52218 66546 66723 85031 99819 133446 170062 199638 200169 255093 400338 510186 511543 600507 765279 1023086 1201014 1530558 1534629 1955713 2295837 3069258 3574999 3911426 4591674 4603887 5867139 7149998 9207774 10724997 11734278 13811661 17601417 21449994 27623322 32174991 35202834 52804251 64349982 82224977 96524973 105608502 164449954 193049946 246674931 493349862 740024793 1480049586 1891174471 2220074379 3782348942 4440148758 5673523413 11347046826 17020570239 34041140478 51061710717 102123421434