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100214044303020 = 22355983873375349
BaseRepresentation
bin10110110010010011100110…
…100000110001111010101100
3111010211100222001102201200020
4112302103212200301322230
5101113401330320144040
6553045410231002140
730052140303534144
oct2662234640617254
9433740861381606
10100214044303020
1129a275a048607a
12b2a61a0809350
1343bc1b3cb629b
141aa655821d924
15b8bbe5bc8cd0
hex5b24e6831eac

100214044303020 has 96 divisors (see below), whose sum is σ = 285389352864000. Its totient is φ = 26267660208384.

The previous prime is 100214044303013. The next prime is 100214044303057. The reversal of 100214044303020 is 20303440412001.

It is a super-2 number, since 2×1002140443030202 (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 28002306 + ... + 31377654.

It is an arithmetic number, because the mean of its divisors is an integer number (2972805759000).

Almost surely, 2100214044303020 is an apocalyptic number.

100214044303020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100214044303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142694676432000).

100214044303020 is an abundant number, since it is smaller than the sum of its proper divisors (185175308560980).

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

100214044303020 is a wasteful number, since it uses less digits than its factorization.

100214044303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383807 (or 3383805 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100214044303020 its reverse (20303440412001), we get a palindrome (120517484715021).

The spelling of 100214044303020 in words is "one hundred trillion, two hundred fourteen billion, forty-four million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 8387 16774 25161 33548 41935 50322 83870 100644 125805 167740 251610 494833 503220 989666 1484499 1979332 2474165 2968998 3375349 4948330 5937996 6750698 7422495 9896660 10126047 13501396 14844990 16876745 20252094 29689980 33753490 40504188 50630235 67506980 101260470 199145591 202520940 398291182 597436773 796582364 995727955 1194873546 1991455910 2389747092 2987183865 3982911820 5974367730 11948735460 28309052063 56618104126 84927156189 113236208252 141545260315 169854312378 283090520630 339708624756 424635780945 566181041260 849271561890 1670234071717 1698543123780 3340468143434 5010702215151 6680936286868 8351170358585 10021404430302 16702340717170 20042808860604 25053511075755 33404681434340 50107022151510 100214044303020