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21003200040304 = 241723149167134923
BaseRepresentation
bin1001100011010001100000…
…10001110000110101110000
32202100212221010022211012001
410301220300101300311300
510223104023202242204
6112400423100343344
74265300606456326
oct461506021606560
982325833284161
1021003200040304
116768452963639
122432689244b54
13b94793533541
145287bb69dd16
1526651c5074a4
hex131a30470d70

21003200040304 has 160 divisors (see below), whose sum is σ = 45533935641600. Its totient is φ = 9334374567936.

The previous prime is 21003200040269. The next prime is 21003200040359. The reversal of 21003200040304 is 40304000230012.

It is a super-2 number, since 2×210032000403042 (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, 155600587 + ... + 155735509.

It is an arithmetic number, because the mean of its divisors is an integer number (284587097760).

Almost surely, 221003200040304 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 21003200040304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766967820800).

21003200040304 is an abundant number, since it is smaller than the sum of its proper divisors (24530735601296).

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

21003200040304 is a wasteful number, since it uses less digits than its factorization.

21003200040304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135287 (or 135281 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 21003200040304 its reverse (40304000230012), we get a palindrome (61307200270316).

The spelling of 21003200040304 in words is "twenty-one trillion, three billion, two hundred million, forty thousand, three hundred four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 149 167 184 272 298 334 368 391 596 668 782 1192 1336 1564 2384 2533 2672 2839 3128 3427 3841 5066 5678 6256 6854 7682 10132 11356 13708 15364 20264 22712 24883 27416 30728 40528 45424 49766 54832 58259 61456 65297 99532 116518 130594 134923 199064 233036 261188 269846 398128 423011 466072 522376 539692 572309 846022 932144 1044752 1079384 1144618 1692044 2158768 2289236 2293691 3103229 3384088 4578472 4587382 6206458 6768176 9156944 9174764 9729253 12412916 18349528 19458506 20103527 22532141 24825832 36699056 38917012 40207054 45064282 49651664 52754893 77834024 80414108 90128564 105509786 155668048 160828216 180257128 211019572 321656432 341759959 360514256 383046397 422039144 462381121 518239243 683519918 766092794 844078288 924762242 1036478486 1367039836 1532185588 1849524484 2072956972 2734079672 3064371176 3357289009 3699048968 4145913944 5468159344 6128742352 6714578018 7398097936 7860479057 8291827888 8810067131 13429156036 15720958114 17620134262 26858312072 31441916228 35240268524 53716624144 57073913153 62883832456 70480537048 77217647207 114147826306 125767664912 140961074096 154435294414 228295652612 308870588828 456591305224 617741177656 913182610448 1235482355312 1312700002519 2625400005038 5250800010076 10501600020152 21003200040304