Search a number
-
+
10332222110112 = 253771216553951
BaseRepresentation
bin1001011001011010100001…
…1011011011100110100000
31100120202021022202001222010
42112112220123123212200
52323240342330010422
633550320213512520
72114323044602640
oct226265033334640
940522238661863
1010332222110112
113323964025591
1211aa554342740
1359c42a822576
1427a121870520
1512db71363b0c
hex965a86db9a0

10332222110112 has 96 divisors (see below), whose sum is σ = 31433239240704. Its totient is φ = 2910485088000.

The previous prime is 10332222110087. The next prime is 10332222110137. The reversal of 10332222110112 is 21101122223301.

It is an interprime number because it is at equal distance from previous prime (10332222110087) and next prime (10332222110137).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108229264 + ... + 108324687.

It is an arithmetic number, because the mean of its divisors is an integer number (327429575424).

Almost surely, 210332222110112 is an apocalyptic number.

10332222110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10332222110112 is an abundant number, since it is smaller than the sum of its proper divisors (21101017130592).

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

10332222110112 is a wasteful number, since it uses less digits than its factorization.

10332222110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216554042 (or 216554034 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10332222110112 its reverse (21101122223301), we get a palindrome (31433344333413).

The spelling of 10332222110112 in words is "ten trillion, three hundred thirty-two billion, two hundred twenty-two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2982 3408 3976 5964 6816 7952 11928 15904 23856 47712 216553951 433107902 649661853 866215804 1299323706 1515877657 1732431608 2598647412 3031755314 3464863216 4547632971 5197294824 6063510628 6929726432 9095265942 10394589648 12127021256 15375330521 18190531884 20789179296 24254042512 30750661042 36381063768 46125991563 48508085024 61501322084 72762127536 92251983126 107627313647 123002644168 145524255072 184503966252 215254627294 246005288336 322881940941 369007932504 430509254588 492010576672 645763881882 738015865008 861018509176 1291527763764 1476031730016 1722037018352 2583055527528 3444074036704 5166111055056 10332222110112