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22133132131240 = 23513471641755163
BaseRepresentation
bin1010000100001010001010…
…11110100111101110101000
32220100220111000220100120101
411002011011132213232220
510400112123311144430
6115023453122435144
74443031434665164
oct502050536475650
986326430810511
1022133132131240
117063677095569
122595671202ab4
13c471b75b7a10
1456736c175ca4
15285b00b6adca
hex1421457a7ba8

22133132131240 has 128 divisors (see below), whose sum is σ = 54775680744960. Its totient is φ = 7997723910144.

The previous prime is 22133132131189. The next prime is 22133132131241. The reversal of 22133132131240 is 4213123133122.

It is a junction number, because it is equal to n+sod(n) for n = 22133132131199 and 22133132131208.

It is not an unprimeable number, because it can be changed into a prime (22133132131241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401203899 + ... + 401259061.

It is an arithmetic number, because the mean of its divisors is an integer number (427935005820).

Almost surely, 222133132131240 is an apocalyptic number.

22133132131240 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 22133132131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27387840372480).

22133132131240 is an abundant number, since it is smaller than the sum of its proper divisors (32642548613720).

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

22133132131240 is a wasteful number, since it uses less digits than its factorization.

22133132131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71651 (or 71647 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 22133132131240 its reverse (4213123133122), we get a palindrome (26346255264362).

The spelling of 22133132131240 in words is "twenty-two trillion, one hundred thirty-three billion, one hundred thirty-two million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 260 376 470 520 611 940 1222 1880 2444 3055 4888 6110 12220 16417 24440 32834 55163 65668 82085 110326 131336 164170 213421 220652 275815 328340 426842 441304 551630 656680 717119 771599 853684 1067105 1103260 1434238 1543198 1707368 2134210 2206520 2592661 2868476 3086396 3585595 3857995 4268420 5185322 5736952 6172792 7171190 7715990 8536840 10030787 10370644 12963305 14342380 15431980 20061574 20741288 25926610 28684760 30863960 33704593 40123148 50153935 51853220 67409186 80246296 100307870 103706440 134818372 168522965 200615740 269636744 337045930 401231480 674091860 905610971 1348183720 1811221942 3622443884 4528054855 7244887768 9056109710 11772942623 18112219420 23545885246 36224438840 42563715637 47091770492 58864713115 85127431274 94183540984 117729426230 170254862548 212818578185 235458852460 340509725096 425637156370 470917704920 553328303281 851274312740 1106656606562 1702548625480 2213313213124 2766641516405 4426626426248 5533283032810 11066566065620 22133132131240