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100103302324312 = 23743349119115011
BaseRepresentation
bin10110110000101100011101…
…110001101010000001011000
3111010102210010020212022212021
4112300230131301222001120
5101110043030343334222
6552522453334024224
730041140102333360
oct2660543561520130
9433383106768767
10100103302324312
1129994632524421
12b2888354a8074
1343b1915b6c931
141aa10506959a0
15b88db38baac7
hex5b0b1dc6a058

100103302324312 has 64 divisors (see below), whose sum is σ = 220124542176000. Its totient is φ = 41783639667840.

The previous prime is 100103302324309. The next prime is 100103302324327. The reversal of 100103302324312 is 213423203301001.

100103302324312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001033023243122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58717114 + ... + 60397897.

It is an arithmetic number, because the mean of its divisors is an integer number (3439445971500).

Almost surely, 2100103302324312 is an apocalyptic number.

It is an amenable number.

100103302324312 is an abundant number, since it is smaller than the sum of its proper divisors (120021239851688).

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

100103302324312 is a wasteful number, since it uses less digits than its factorization.

100103302324312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119115416 (or 119115412 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 100103302324312 its reverse (213423203301001), we get a palindrome (313526505625313).

The spelling of 100103302324312 in words is "one hundred trillion, one hundred three billion, three hundred two million, three hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 349 602 698 1204 1396 2408 2443 2792 4886 9772 15007 19544 30014 60028 105049 120056 210098 420196 840392 119115011 238230022 476460044 833805077 952920088 1667610154 3335220308 5121945473 6670440616 10243890946 20487781892 35853618311 40975563784 41571138839 71707236622 83142277678 143414473244 166284555356 286828946488 290997971873 332569110712 581995943746 1163991887492 1787558970077 2327983774984 3575117940154 7150235880308 12512912790539 14300471760616 25025825581078 50051651162156 100103302324312