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21221040153040 = 24571319153419897
BaseRepresentation
bin1001101001100111010001…
…00011110110000111010000
32210010201012202221010121121
410310303220203312013100
510240141142234344130
6113044451122132024
74320112105045660
oct464635043660720
983121182833547
1021221040153040
116841879a31562
1224689434b1014
13bac19b901930
14535164c6c1a0
1526c01bca0d7a
hex134ce88f61d0

21221040153040 has 160 divisors (see below), whose sum is σ = 63920866302720. Its totient is φ = 6362629926912.

The previous prime is 21221040153037. The next prime is 21221040153043. The reversal of 21221040153040 is 4035104012212.

It is an interprime number because it is at equal distance from previous prime (21221040153037) and next prime (21221040153043).

It is a junction number, because it is equal to n+sod(n) for n = 21221040152996 and 21221040153014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221040153043) 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, 76571629 + ... + 76848268.

It is an arithmetic number, because the mean of its divisors is an integer number (399505414392).

Almost surely, 221221040153040 is an apocalyptic number.

21221040153040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221040153040 is an abundant number, since it is smaller than the sum of its proper divisors (42699826149680).

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

21221040153040 is a wasteful number, since it uses less digits than its factorization.

21221040153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153419949 (or 153419943 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 21221040153040 its reverse (4035104012212), we get a palindrome (25256144165252).

The spelling of 21221040153040 in words is "twenty-one trillion, two hundred twenty-one billion, forty million, one hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 52 56 65 70 76 80 91 95 104 112 130 133 140 152 182 190 208 247 260 266 280 304 364 380 455 494 520 532 560 665 728 760 910 988 1040 1064 1235 1330 1456 1520 1729 1820 1976 2128 2470 2660 3458 3640 3952 4940 5320 6916 7280 8645 9880 10640 13832 17290 19760 27664 34580 69160 138320 153419897 306839794 613679588 767099485 1073939279 1227359176 1534198970 1994458661 2147878558 2454718352 2914978043 3068397940 3988917322 4295757116 5369696395 5829956086 6136795880 7977834644 8591514232 9972293305 10739392790 11659912172 12273591760 13961210627 14574890215 15955669288 17183028464 19944586610 20404846301 21478785580 23319824344 27922421254 29149780430 31911338576 37894714559 39889173220 40809692602 42957571160 46639648688 55844842508 58299560860 69806053135 75789429118 79778346440 81619385204 85915142320 102024231505 111689685016 116599121720 139612106270 151578858236 159556692880 163238770408 189473572795 204048463010 223379370032 233198243440 265263001913 279224212540 303157716472 326477540816 378947145590 408096926020 530526003826 558448425080 606315432944 757894291180 816193852040 1061052007652 1116896850160 1326315009565 1515788582360 1632387704080 2122104015304 2652630019130 3031577164720 4244208030608 5305260038260 10610520076520 21221040153040