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21142202053830 = 235111310347847109
BaseRepresentation
bin1001100111010100011010…
…11100010111010011000110
32202212011201102010201212020
410303222031130113103012
510232343212211210310
6112544332112104010
74311321322212144
oct463521534272306
982764642121766
1021142202053830
1168113a2979770
122455600835006
13ba49164119a0
14531406546594
15269e557e4170
hex133a8d7174c6

21142202053830 has 128 divisors (see below), whose sum is σ = 60190898826240. Its totient is φ = 4685188815360.

The previous prime is 21142202053829. The next prime is 21142202053849. The reversal of 21142202053830 is 3835020224112.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 21142202053791 and 21142202053800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23481685 + ... + 24365424.

It is an arithmetic number, because the mean of its divisors is an integer number (470241397080).

Almost surely, 221142202053830 is an apocalyptic number.

21142202053830 is an abundant number, since it is smaller than the sum of its proper divisors (39048696772410).

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

21142202053830 is a wasteful number, since it uses less digits than its factorization.

21142202053830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47847246.

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 21142202053830 its reverse (3835020224112), we get a palindrome (24977222277942).

The spelling of 21142202053830 in words is "twenty-one trillion, one hundred forty-two billion, two hundred two million, fifty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 103 110 130 143 165 195 206 286 309 330 390 429 515 618 715 858 1030 1133 1339 1430 1545 2145 2266 2678 3090 3399 4017 4290 5665 6695 6798 8034 11330 13390 14729 16995 20085 29458 33990 40170 44187 73645 88374 147290 220935 441870 47847109 95694218 143541327 239235545 287082654 478471090 526318199 622012417 717706635 1052636398 1244024834 1435413270 1578954597 1866037251 2631590995 3110062085 3157909194 3732074502 4928252227 5263181990 6220124170 6842136587 7894772985 9330186255 9856504454 13684273174 14784756681 15789545970 18660372510 20526409761 24641261135 29569513362 34210682935 41052819522 49282522270 54210774497 64067278951 68421365870 73923783405 102632048805 108421548994 128134557902 147847566810 162632323491 192201836853 205264097610 271053872485 320336394755 325264646982 384403673706 542107744970 640672789510 704740068461 813161617455 961009184265 1409480136922 1626323234910 1922018368530 2114220205383 3523700342305 4228440410766 7047400684610 10571101026915 21142202053830