Search a number
-
+
100010021211020 = 225131313887137491
BaseRepresentation
bin10110101111010101100101…
…110010011100101110001100
3111010002212100022222210110102
4112233111211302130232030
5101102031010412223040
6552411545224030232
730031325362056014
oct2657254562345614
9433085308883412
10100010021211020
1129959014799358
12b272741902378
1343a5b9b34bacb
141a9a721ad6c44
15b8675446c515
hex5af565c9cb8c

100010021211020 has 96 divisors (see below), whose sum is σ = 212541266843136. Its totient is φ = 39526901107200.

The previous prime is 100010021211019. The next prime is 100010021211047. The reversal of 100010021211020 is 20112120010001.

100010021211020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100010021210992 and 100010021211010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727324475 + ... + 727461965.

It is an arithmetic number, because the mean of its divisors is an integer number (2213971529616).

Almost surely, 2100010021211020 is an apocalyptic number.

100010021211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010021211020 is an abundant number, since it is smaller than the sum of its proper divisors (112531245632116).

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

100010021211020 is a wasteful number, since it uses less digits than its factorization.

100010021211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138831 (or 138829 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100010021211020 its reverse (20112120010001), we get a palindrome (120122141221021).

The spelling of 100010021211020 in words is "one hundred trillion, ten billion, twenty-one million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 131 262 313 524 626 655 887 1252 1310 1565 1774 2620 3130 3548 4435 6260 8870 17740 41003 82006 116197 137491 164012 205015 232394 274982 277631 410030 464788 549964 555262 580985 687455 820060 1110524 1161970 1374910 1388155 2323940 2749820 2776310 5552620 18011321 36022642 36369661 43034683 72045284 72739322 86069366 90056605 121954517 145478644 172138732 180113210 181848305 215173415 243909034 360226420 363696610 430346830 487818068 609772585 727393220 860693660 1219545170 2439090340 5637543473 11275086946 15976041727 22550173892 28187717365 31952083454 38171763821 56375434730 63904166908 76343527642 79880208635 112750869460 152687055284 159760417270 190858819105 319520834540 381717638210 763435276420 5000501060551 10001002121102 20002004242204 25002505302755 50005010605510 100010021211020