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100338681212 = 2272113112711821
BaseRepresentation
bin101110101110010100…
…1101100010101111100
3100120222202221010112022
41131130221230111330
53120443200244322
6114032302055312
710151325501200
oct1353451542574
9316882833468
10100338681212
113960a62a330
121754327a538
139600a31a23
144bdc022b00
152923d39942
hex175ca6c57c

100338681212 has 144 divisors (see below), whose sum is σ = 231848902656. Its totient is φ = 37530864000.

The previous prime is 100338681133. The next prime is 100338681217. The reversal of 100338681212 is 212186833001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100338681217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8482262 + ... + 8494082.

It is an arithmetic number, because the mean of its divisors is an integer number (1610061824).

Almost surely, 2100338681212 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 100338681212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115924451328).

100338681212 is an abundant number, since it is smaller than the sum of its proper divisors (131510221444).

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

100338681212 is a wasteful number, since it uses less digits than its factorization.

100338681212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12008 (or 11999 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 100338681212 in words is "one hundred billion, three hundred thirty-eight million, six hundred eighty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 31 44 49 62 77 98 124 127 154 196 217 254 308 341 434 508 539 682 868 889 1078 1364 1397 1519 1778 2156 2387 2794 3038 3556 3937 4774 5588 6076 6223 7874 9548 9779 11821 12446 15748 16709 19558 23642 24892 27559 33418 39116 43307 47284 55118 66836 68453 82747 86614 110236 130031 136906 165494 173228 192913 260062 273812 303149 330988 366451 385826 520124 579229 606298 732902 771652 910217 1158458 1212596 1465804 1501267 1820434 2122043 2316916 2565157 3002534 3640868 4030961 4244086 5130314 6005068 6371519 8061922 8488172 10260628 10508869 12743038 16123844 16513937 17956099 21017738 25486076 28216727 33027874 35912198 42035476 46539277 56433454 66055748 71824396 73562083 93078554 112866908 115597559 147124166 186157108 197517089 231195118 294248332 325774939 395034178 462390236 511932047 651549878 790068356 809182913 1023864094 1303099756 1618365826 2047728188 2280424573 3236731652 3583524329 4560849146 7167048658 9121698292 14334097316 25084670303 50169340606 100338681212