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20122204334232 = 23371113837587593
BaseRepresentation
bin1001001001101000100001…
…10101110110100010011000
32122020122221000110220020210
410210310100311312202120
510114140233302143412
6110444002453051120
74144531660514460
oct444642065664230
978218830426223
1020122204334232
116458862842090
12230b999626aa0
13b2c692089490
144d7cc424cba0
1524d65861283c
hex124d10d76898

20122204334232 has 128 divisors (see below), whose sum is σ = 67543063580160. Its totient is φ = 4824504529920.

The previous prime is 20122204334129. The next prime is 20122204334237. The reversal of 20122204334232 is 23243340222102.

It is a self number, because there is not a number n which added to its sum of digits gives 20122204334232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122204334237) 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 31 ways as a sum of consecutive naturals, for example, 418769773 + ... + 418817820.

It is an arithmetic number, because the mean of its divisors is an integer number (527680184220).

Almost surely, 220122204334232 is an apocalyptic number.

20122204334232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20122204334232 is an abundant number, since it is smaller than the sum of its proper divisors (47420859245928).

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

20122204334232 is a wasteful number, since it uses less digits than its factorization.

20122204334232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837587633 (or 837587629 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 20122204334232 its reverse (23243340222102), we get a palindrome (43365544556334).

The spelling of 20122204334232 in words is "twenty trillion, one hundred twenty-two billion, two hundred four million, three hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 837587593 1675175186 2512762779 3350350372 5025525558 5863113151 6700700744 9213463523 10051051116 10888638709 11726226302 17589339453 18426927046 20102102232 21777277418 23452452604 27640390569 32665916127 35178678906 36853854092 43554554836 46904905208 55280781138 64494244661 65331832254 70357357812 73707708184 76220470963 87109109672 110561562276 119775025799 128988489322 130663664508 140714715624 152440941926 193482733983 221123124552 228661412889 239550051598 257976978644 261327329016 304881883852 359325077397 386965467966 457322825778 479100103196 515953957288 609763767704 718650154794 773930935932 838425180593 914645651556 958200206392 1437300309588 1547861871864 1676850361186 1829291303112 2515275541779 2874600619176 3353700722372 5030551083558 6707401444744 10061102167116 20122204334232