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2145312445311 = 3572829217337
BaseRepresentation
bin11111001101111110100…
…101100001001101111111
321121002102111211220200000
4133031332211201031333
5240122044441222221
64321313135005343
7310664561624100
oct37157645411577
97532374756600
102145312445311
11757904a467a2
122a7938969853
131273c091c619
1475b958723a7
153ac102c1e26
hex1f37e96137f

2145312445311 has 72 divisors (see below), whose sum is σ = 3742742923920. Its totient is φ = 1224408431232.

The previous prime is 2145312445303. The next prime is 2145312445319. The reversal of 2145312445311 is 1135442135412.

2145312445311 is a `hidden beast` number, since 2 + 145 + 31 + 24 + 453 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (2145312445303) and next prime (2145312445319).

It is not a de Polignac number, because 2145312445311 - 23 = 2145312445303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145312445319) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9762235 + ... + 9979571.

It is an arithmetic number, because the mean of its divisors is an integer number (51982540610).

Almost surely, 22145312445311 is an apocalyptic number.

2145312445311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2145312445311 is a deficient number, since it is larger than the sum of its proper divisors (1597430478609).

2145312445311 is an equidigital number, since it uses as much as digits as its factorization.

2145312445311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218195 (or 218176 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 2145312445311 in words is "two trillion, one hundred forty-five billion, three hundred twelve million, four hundred forty-five thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 829 1323 1701 2487 3969 5803 7461 11907 17409 22383 40621 52227 67149 121863 156681 201447 217337 365589 470043 652011 1096767 1410129 1521359 1956033 3290301 4564077 5868099 9870903 10649513 13692231 17604297 31948539 41076693 52812891 95845617 123230079 180172373 287536851 369690237 540517119 862610553 1261206611 1621551357 2587831659 3783619833 4864654071 8828446277 11350859499 14593962213 26485338831 34052578497 43781886639 79456016493 102157735491 238368049479 306473206473 715104148437 2145312445311