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100121063453460 = 22325789892822039
BaseRepresentation
bin10110110000111101000000…
…011010111111001100010100
3111010111110222001120011200100
4112300331000122333030110
5101110340414221002320
6552534552004414100
730042336200415120
oct2660750032771424
9433443861504610
10100121063453460
11299a1117194655
12b2901716a7330
1343b34b67562ca
141aa1c574a2580
15b895a2cdc790
hex5b0f406bf314

100121063453460 has 144 divisors (see below), whose sum is σ = 350986200364800. Its totient is φ = 22627681731072.

The previous prime is 100121063453431. The next prime is 100121063453527. The reversal of 100121063453460 is 64354360121001.

100121063453460 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 1 + 0 + 63 + 4 + 534 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446298880 + ... + 446523159.

It is an arithmetic number, because the mean of its divisors is an integer number (2437404169200).

Almost surely, 2100121063453460 is an apocalyptic number.

100121063453460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121063453460 is an abundant number, since it is smaller than the sum of its proper divisors (250865136911340).

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

100121063453460 is a wasteful number, since it uses less digits than its factorization.

100121063453460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892822150 (or 892822145 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 100121063453460 in words is "one hundred trillion, one hundred twenty-one billion, sixty-three million, four hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 89 90 105 126 140 178 180 210 252 267 315 356 420 445 534 623 630 801 890 1068 1246 1260 1335 1602 1780 1869 2492 2670 3115 3204 3738 4005 5340 5607 6230 7476 8010 9345 11214 12460 16020 18690 22428 28035 37380 56070 112140 892822039 1785644078 2678466117 3571288156 4464110195 5356932234 6249754273 8035398351 8928220390 10713864468 12499508546 13392330585 16070796702 17856440780 18749262819 24999017092 26784661170 31248771365 32141593404 37498525638 40176991755 53569322340 56247788457 62497542730 74997051276 79461161471 80353983510 93746314095 112495576914 124995085460 158922322942 160707967020 187492628190 224991153828 238383484413 281238942285 317844645884 374985256380 397305807355 476766968826 556228130297 562477884570 715150453239 794611614710 953533937652 1112456260594 1124955769140 1191917422065 1430300906478 1589223229420 1668684390891 2224912521188 2383834844130 2781140651485 2860601812956 3337368781782 3575752266195 4767669688260 5006053172673 5562281302970 6674737563564 7151504532390 8343421954455 10012106345346 11124562605940 14303009064780 16686843908910 20024212690692 25030265863365 33373687817820 50060531726730 100121063453460