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20313431341232 = 2419214933770039
BaseRepresentation
bin1001001111001100101101…
…10110111111100010110000
32122220221111221211100210112
410213212112312333202300
510130303401410404412
6111111510031320452
74164411523326431
oct447462666774260
978827457740715
1020313431341232
116521972470847
122340a67080128
13b4471897a223
1450326512b488
152535eb79b722
hex127996dbf8b0

20313431341232 has 120 divisors (see below), whose sum is σ = 41941191708000. Its totient is φ = 9529076680704.

The previous prime is 20313431341171. The next prime is 20313431341241. The reversal of 20313431341232 is 23214313431302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289995269 + ... + 290065307.

It is an arithmetic number, because the mean of its divisors is an integer number (349509930900).

Almost surely, 220313431341232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20313431341232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20970595854000).

20313431341232 is an abundant number, since it is smaller than the sum of its proper divisors (21627760366768).

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

20313431341232 is a wasteful number, since it uses less digits than its factorization.

20313431341232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70571 (or 70546 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 20313431341232 its reverse (23214313431302), we get a palindrome (43527744772534).

The spelling of 20313431341232 in words is "twenty trillion, three hundred thirteen billion, four hundred thirty-one million, three hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 149 152 298 304 337 361 596 674 722 1192 1348 1444 2384 2696 2831 2888 5392 5662 5776 6403 11324 12806 22648 25612 45296 50213 51224 53789 70039 100426 102448 107578 121657 140078 200852 215156 243314 280156 401704 430312 486628 560312 803408 860624 954047 973256 1120624 1330741 1908094 1946512 2661482 3816188 5322964 7632376 10435811 10645928 15264752 18126893 20871622 21291856 23603143 25284079 36253786 41743244 47206286 50568158 72507572 83486488 94412572 101136316 145015144 166972976 188825144 198280409 202272632 290030288 377650288 396560818 404545264 448459717 793121636 896919434 1586243272 1793838868 3172486544 3516868307 3587677736 3767327771 7033736614 7175355472 7534655542 8520734623 14067473228 15069311084 17041469246 28134946456 30138622168 34082938492 56269892912 60277244336 66820497833 68165876984 133640995666 136331753968 267281991332 534563982664 1069127965328 1269589458827 2539178917654 5078357835308 10156715670616 20313431341232