Search a number
-
+
1331021212320 = 25358999308141
BaseRepresentation
bin10011010111100111000…
…010111110101010100000
311201020121011020022112210
4103113213002332222200
5133301412412243240
62455243535522120
7165106642426542
oct23274702765240
94636534208483
101331021212320
11473534858148
12195b64389340
139868cc15887
14485c94a3692
1524952520780
hex135e70beaa0

1331021212320 has 96 divisors (see below), whose sum is σ = 4193196336000. Its totient is φ = 354898396160.

The previous prime is 1331021212319. The next prime is 1331021212337. The reversal of 1331021212320 is 232121201331.

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

It is a super-3 number, since 3×13310212123203 (a number of 37 digits) contains 333 as substring.

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, 4165450 + ... + 4473590.

It is an arithmetic number, because the mean of its divisors is an integer number (43679128500).

Almost surely, 21331021212320 is an apocalyptic number.

1331021212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331021212320 is an abundant number, since it is smaller than the sum of its proper divisors (2862175123680).

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

1331021212320 is a wasteful number, since it uses less digits than its factorization.

1331021212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317158 (or 317150 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1331021212320 its reverse (232121201331), we get a palindrome (1563142413651).

The spelling of 1331021212320 in words is "one trillion, three hundred thirty-one billion, twenty-one million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8999 17998 26997 35996 44995 53994 71992 89990 107988 134985 143984 179980 215976 269970 287968 308141 359960 431952 539940 616282 719920 863904 924423 1079880 1232564 1439840 1540705 1848846 2159760 2465128 3081410 3697692 4319520 4622115 4930256 6162820 7395384 9244230 9860512 12325640 14790768 18488460 24651280 29581536 36976920 49302560 73953840 147907680 2772960859 5545921718 8318882577 11091843436 13864804295 16637765154 22183686872 27729608590 33275530308 41594412885 44367373744 55459217180 66551060616 83188825770 88734747488 110918434360 133102121232 166377651540 221836868720 266204242464 332755303080 443673737440 665510606160 1331021212320