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10000310002221 = 373112711131239
BaseRepresentation
bin1001000110000110000011…
…1011001110001000101101
31022102000112210112222221010
42101201200323032020231
52302321113330032341
633134025021255433
72051333001333000
oct221414073161055
938360483488833
1010000310002221
11320612031a300
121156163704579
13577043448ba6
14268036387537
151251e727a716
hex91860ece22d

10000310002221 has 96 divisors (see below), whose sum is σ = 17332406784000. Its totient is φ = 5121793168800.

The previous prime is 10000310002217. The next prime is 10000310002229. The reversal of 10000310002221 is 12220001300001.

It is not a de Polignac number, because 10000310002221 - 22 = 10000310002217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000310002197 and 10000310002206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000310002229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8274520 + ... + 9405758.

It is an arithmetic number, because the mean of its divisors is an integer number (180545904000).

Almost surely, 210000310002221 is an apocalyptic number.

10000310002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000310002221 is a deficient number, since it is larger than the sum of its proper divisors (7332096781779).

10000310002221 is a wasteful number, since it uses less digits than its factorization.

10000310002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131356 (or 1131331 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10000310002221 its reverse (12220001300001), we get a palindrome (22220311302222).

The spelling of 10000310002221 in words is "ten trillion, three hundred ten million, two thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 33 49 71 77 121 147 213 231 343 363 497 539 781 847 1029 1491 1617 2343 2541 3479 3773 5467 5929 8591 10437 11319 16401 17787 24353 25773 38269 41503 60137 73059 114807 124509 180411 267883 420959 803649 1131239 1262877 2946713 3393717 7918673 8840139 12443629 23756019 37330887 55430711 80317969 87105403 136879919 166292133 240953907 261316209 388014977 410639757 562225783 609737821 883497659 958159433 1164044931 1686677349 1829213463 2650492977 2874478299 3935580481 4268164747 6184483613 6707116031 9718474249 11806741443 12804494241 18553450839 20121348093 27549063367 29155422747 43291385291 46949812217 68029319743 82647190101 129874155873 140849436651 204087959229 303039697037 476205238201 909119091111 1428615714603 3333436667407 10000310002221