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102214333416 = 2331317104918371
BaseRepresentation
bin101111100110001110…
…0101111001111101000
3100202211111022010122110
41133030130233033220
53133313332132131
6114542343522320
710245652333026
oct1371434571750
9322744263573
10102214333416
113a392365618
12179874593a0
13983c4bc1c0
144d3918d716
1529d3838646
hex17cc72f3e8

102214333416 has 128 divisors (see below), whose sum is σ = 291673872000. Its totient is φ = 29570703360.

The previous prime is 102214333409. The next prime is 102214333427. The reversal of 102214333416 is 614333412201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5554711 + ... + 5573081.

It is an arithmetic number, because the mean of its divisors is an integer number (2278702125).

Almost surely, 2102214333416 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 102214333416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145836936000).

102214333416 is an abundant number, since it is smaller than the sum of its proper divisors (189459538584).

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

102214333416 is a wasteful number, since it uses less digits than its factorization.

102214333416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19459 (or 19455 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 102214333416 its reverse (614333412201), we get a palindrome (716547745617).

The spelling of 102214333416 in words is "one hundred two billion, two hundred fourteen million, three hundred thirty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1049 1326 1768 2098 2652 3147 4196 5304 6294 8392 12588 13637 17833 18371 25176 27274 35666 36742 40911 53499 54548 55113 71332 73484 81822 106998 109096 110226 142664 146968 163644 213996 220452 231829 238823 312307 327288 427992 440904 463658 477646 624614 695487 716469 927316 936921 955292 1249228 1390974 1432938 1854632 1873842 1910584 2498456 2781948 2865876 3747684 4059991 5563896 5731752 7495368 8119982 12179973 16239964 19271179 24359946 32479928 38542358 48719892 57813537 77084716 97439784 115627074 154169432 231254148 250525327 327610043 462508296 501050654 655220086 751575981 982830129 1002101308 1310440172 1503151962 1965660258 2004202616 2620880344 3006303924 3931320516 4258930559 6012607848 7862641032 8517861118 12776791677 17035722236 25553583354 34071444472 51107166708 102214333416