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2231220121020 = 2234511125208761
BaseRepresentation
bin100000011101111111000…
…101010010110110111100
321220022011120022000020000
4200131333011102312330
5243024014322333040
64425001450354300
7320125500051042
oct40357705226674
97808146260200
102231220121020
11790289654aa0
1230051312b990
13132531966327
1479dc5066392
153d08c23d130
hex2077f152dbc

2231220121020 has 120 divisors (see below), whose sum is σ = 7635731141808. Its totient is φ = 540901843200.

The previous prime is 2231220121019. The next prime is 2231220121057. The reversal of 2231220121020 is 201210221322.

2231220121020 is a `hidden beast` number, since 2 + 231 + 2 + 201 + 210 + 20 = 666.

It is a super-3 number, since 3×22312201210203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2231220120984 and 2231220121002.

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 39 ways as a sum of consecutive naturals, for example, 62586561 + ... + 62622200.

Almost surely, 22231220121020 is an apocalyptic number.

2231220121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231220121020 is an abundant number, since it is smaller than the sum of its proper divisors (5404511020788).

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

2231220121020 is a wasteful number, since it uses less digits than its factorization.

2231220121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125208793 (or 125208782 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2231220121020 its reverse (201210221322), we get a palindrome (2432430342342).

The spelling of 2231220121020 in words is "two trillion, two hundred thirty-one billion, two hundred twenty million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 125208761 250417522 375626283 500835044 626043805 751252566 1126878849 1252087610 1377296371 1502505132 1878131415 2253757698 2504175220 2754592742 3380636547 3756262830 4131889113 4507515396 5509185484 5634394245 6761273094 6886481855 7512525660 8263778226 10141909641 11268788490 12395667339 13522546188 13772963710 16527556452 16903182735 20283819282 20659445565 22537576980 24791334678 27545927420 33806365470 37187002017 40567638564 41318891130 49582669356 50709548205 61978336695 67612730940 74374004034 82637782260 101419096410 111561006051 123956673390 148748008068 185935010085 202838192820 223122012102 247913346780 371870020170 446244024204 557805030255 743740040340 1115610060510 2231220121020