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20330323013104 = 24131767191449287
BaseRepresentation
bin1001001111101100001011…
…01011100110110111110000
32122222120010011111012110021
410213312011223212313300
510131043000142404404
6111123342122413224
74165550233221256
oct447660553466760
978876104435407
1020330323013104
11652905036a945
1223441a0061214
13b461ab3a2240
14503dc868c5d6
15253c896c6454
hex127d85ae6df0

20330323013104 has 160 divisors (see below), whose sum is σ = 45824443047936. Its totient is φ = 8653895331840.

The previous prime is 20330323013051. The next prime is 20330323013173. The reversal of 20330323013104 is 40131032303302.

It is a super-2 number, since 2×203303230131042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 45025549 + ... + 45474835.

Almost surely, 220330323013104 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 20330323013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22912221523968).

20330323013104 is an abundant number, since it is smaller than the sum of its proper divisors (25494120034832).

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

20330323013104 is a wasteful number, since it uses less digits than its factorization.

20330323013104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449583 (or 449577 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 20330323013104 its reverse (40131032303302), we get a palindrome (60461355316406).

The spelling of 20330323013104 in words is "twenty trillion, three hundred thirty billion, three hundred twenty-three million, thirteen thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 26 34 52 67 68 104 134 136 191 208 221 268 272 382 442 536 764 871 884 1072 1139 1528 1742 1768 2278 2483 3056 3247 3484 3536 4556 4966 6494 6968 9112 9932 12797 12988 13936 14807 18224 19864 25594 25976 29614 39728 42211 51188 51952 59228 84422 102376 118456 166361 168844 204752 217549 236912 332722 337688 435098 449287 665444 675376 870196 898574 1330888 1740392 1797148 2661776 2828137 3480784 3594296 5656274 5840731 7188592 7637879 11312548 11681462 15275758 22625096 23362924 30102229 30551516 45250192 46725848 60204458 61103032 85813817 93451696 99292427 120408916 122206064 171627634 198584854 240817832 343255268 391328977 397169708 481635664 511737893 686510536 782657954 794339416 1023475786 1115579621 1373021072 1458834889 1565315908 1588678832 2046951572 2231159242 2917669778 3130631816 4093903144 4462318484 5749525739 5835339556 6261263632 6652592609 8187806288 8924636968 11499051478 11670679112 13305185218 17849273936 18964853557 22998102956 23341358224 26610370436 37929707114 45996205912 53220740872 74743834607 75859414228 91992411824 97741937563 106441481744 149487669214 151718828456 195483875126 298975338428 303437656912 390967750252 597950676856 781935500504 1195901353712 1270645188319 1563871001008 2541290376638 5082580753276 10165161506552 20330323013104