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20430323320420 = 22513832933231143
BaseRepresentation
bin1001010010100110011100…
…01010100000011001100100
32200100010020100201011021001
410221103032022200121210
510134212300232223140
6111241321100203044
74206020312626606
oct451231612403144
980303210634231
1020430323320420
1165674a6995922
12235b649b39484
13b52756c8b810
14508b9378d176
1525668d971e9a
hex1294ce2a0664

20430323320420 has 96 divisors (see below), whose sum is σ = 46920243347712. Its totient is φ = 7427180548608.

The previous prime is 20430323320411. The next prime is 20430323320441. The reversal of 20430323320420 is 2402332303402.

It is a super-2 number, since 2×204303233204202 (a number of 27 digits) contains 22 as substring.

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, 4707369 + ... + 7938511.

It is an arithmetic number, because the mean of its divisors is an integer number (488752534872).

Almost surely, 220430323320420 is an apocalyptic number.

20430323320420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20430323320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23460121673856).

20430323320420 is an abundant number, since it is smaller than the sum of its proper divisors (26489920027292).

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

20430323320420 is a wasteful number, since it uses less digits than its factorization.

20430323320420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231541 (or 3231539 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 20430323320420 its reverse (2402332303402), we get a palindrome (22832655623822).

The spelling of 20430323320420 in words is "twenty trillion, four hundred thirty billion, three hundred twenty-three million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 293 332 415 586 830 1079 1172 1465 1660 2158 2930 3809 4316 5395 5860 7618 10790 15236 19045 21580 24319 38090 48638 76180 97276 121595 243190 316147 486380 632294 1264588 1580735 3161470 3231143 6322940 6462286 12924572 16155715 32311430 42004859 64622860 84009718 168019436 210024295 268184869 420048590 536369738 840097180 946724899 1072739476 1340924345 1893449798 2681848690 3486403297 3786899596 4733624495 5363697380 6972806594 9467248990 12307423687 13945613188 17432016485 18934497980 24614847374 34864032970 49229694748 61537118435 69728065940 78578166617 123074236870 157156333234 246148473740 314312666468 392890833085 785781666170 1021516166021 1571563332340 2043032332042 4086064664084 5107580830105 10215161660210 20430323320420