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2152123314345 = 3254111388111717
BaseRepresentation
bin11111010100010100100…
…010111011000010101001
321121202000011200220112200
4133110110202323002221
5240230022032024340
64324401035330413
7311325423225114
oct37242442730251
97552004626480
102152123314345
1175a78a561484
122a91198b0a09
13127c379a5544
147624023957b
153aead1cc330
hex1f5148bb0a9

2152123314345 has 96 divisors (see below), whose sum is σ = 3859853516064. Its totient is φ = 1108539801600.

The previous prime is 2152123314283. The next prime is 2152123314373. The reversal of 2152123314345 is 5434133212512.

2152123314345 is a `hidden beast` number, since 2 + 1 + 5 + 212 + 3 + 3 + 1 + 434 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2149070972841 + 3052341504 = 1465971^2 + 55248^2 .

It is not a de Polignac number, because 2152123314345 - 26 = 2152123314281 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183669427 + ... + 183681143.

It is an arithmetic number, because the mean of its divisors is an integer number (40206807459).

Almost surely, 22152123314345 is an apocalyptic number.

It is an amenable number.

2152123314345 is a deficient number, since it is larger than the sum of its proper divisors (1707730201719).

2152123314345 is a wasteful number, since it uses less digits than its factorization.

2152123314345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12763 (or 12760 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 2152123314345 its reverse (5434133212512), we get a palindrome (7586256526857).

The spelling of 2152123314345 in words is "two trillion, one hundred fifty-two billion, one hundred twenty-three million, three hundred fourteen thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 41 45 113 123 205 339 369 565 615 881 1017 1695 1845 2643 4405 4633 5085 7929 11717 13215 13899 23165 35151 36121 39645 41697 58585 69495 99553 105453 108363 175755 180605 208485 298659 325089 480397 497765 527265 541815 895977 1324021 1441191 1493295 1625445 2401985 3972063 4081673 4323573 4479885 6620105 7205955 10322677 11916189 12245019 19860315 20408365 21617865 30968031 36735057 51613385 54284861 59580945 61225095 92904093 154840155 162854583 183675285 271424305 423229757 464520465 488563749 814272915 1166462501 1269689271 2116148785 2442818745 3499387503 3809067813 5832312505 6348446355 10498162509 17496937515 19045339065 47824962541 52490812545 143474887623 239124812705 430424662869 717374438115 2152123314345