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1332301312092 = 2232343241465809
BaseRepresentation
bin10011011000110011010…
…110001011000001011100
311201100220100222010022110
4103120303112023001130
5133312023113441332
62500014544514020
7165153445205052
oct23306326130134
94640810863273
101332301312092
114740313a3043
1219626101b910
13988351a396a
14486ab4c41d2
15249c9ace4cc
hex1363358b05c

1332301312092 has 96 divisors (see below), whose sum is σ = 3333082959360. Its totient is φ = 413190328320.

The previous prime is 1332301312039. The next prime is 1332301312093. The reversal of 1332301312092 is 2902131032331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332301312093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2627284 + ... + 3093092.

It is an arithmetic number, because the mean of its divisors is an integer number (34719614160).

Almost surely, 21332301312092 is an apocalyptic number.

1332301312092 is a gapful number since it is divisible by the number (12) 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 1332301312092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666541479680).

1332301312092 is an abundant number, since it is smaller than the sum of its proper divisors (2000781647268).

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

1332301312092 is a wasteful number, since it uses less digits than its factorization.

1332301312092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466123 (or 466121 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The spelling of 1332301312092 in words is "one trillion, three hundred thirty-two billion, three hundred one million, three hundred twelve thousand, ninety-two".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 241 258 276 482 516 723 964 989 1446 1978 2892 2967 3956 5543 5934 10363 11086 11868 16629 20726 22172 31089 33258 41452 62178 66516 124356 238349 465809 476698 715047 931618 953396 1397427 1430094 1863236 2794854 2860188 5589708 10713607 20029787 21427214 32140821 40059574 42854428 60089361 64281642 80119148 112259969 120178722 128563284 224519938 240357444 336779907 449039876 460685101 673559814 921370202 1347119628 1382055303 1842740404 2581979287 2764110606 4827178667 5163958574 5528221212 7745937861 9654357334 10327917148 14481536001 15491875722 19308714668 28963072002 30983751444 57926144004 111025109341 222050218682 333075328023 444100437364 666150656046 1332301312092