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100441012114120 = 23569136137100559
BaseRepresentation
bin10110110101100110111110…
…110110010001001011001000
3111011122001210211102011100011
4112311212332312101023020
5101131111143100122440
6553341544114521304
730104423625231136
oct2665467666211310
9434561724364304
10100441012114120
112a004880934967
12b322183896234
134407715425922
141ab3529b64756
15b92a7b9759ea
hex5b59bed912c8

100441012114120 has 64 divisors (see below), whose sum is σ = 226327841798400. Its totient is φ = 40116753323520.

The previous prime is 100441012114099. The next prime is 100441012114139. The reversal of 100441012114120 is 21411210144001.

It is a junction number, because it is equal to n+sod(n) for n = 100441012114091 and 100441012114100.

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, 998776401 + ... + 998876959.

It is an arithmetic number, because the mean of its divisors is an integer number (3536372528100).

Almost surely, 2100441012114120 is an apocalyptic number.

100441012114120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100441012114120 is an abundant number, since it is smaller than the sum of its proper divisors (125886829684280).

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

100441012114120 is a wasteful number, since it uses less digits than its factorization.

100441012114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137398 (or 137394 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 100441012114120 its reverse (21411210144001), we get a palindrome (121852222258121).

The spelling of 100441012114120 in words is "one hundred trillion, four hundred forty-one billion, twelve million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 691 1382 2764 3455 5528 6910 13820 27640 36137 72274 100559 144548 180685 201118 289096 361370 402236 502795 722740 804472 1005590 1445480 2011180 4022360 24970667 49941334 69486269 99882668 124853335 138972538 199765336 249706670 277945076 347431345 499413340 555890152 694862690 998826680 1389725380 2779450760 3633900583 7267801166 14535602332 18169502915 29071204664 36339005830 72678011660 145356023320 2511025302853 5022050605706 10044101211412 12555126514265 20088202422824 25110253028530 50220506057060 100441012114120