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153881312113 = 171923109307619
BaseRepresentation
bin1000111101010000001…
…0100111101101110001
3112201012020211121011001
42033110002213231301
510010122103441423
6154405254322001
714055215400004
oct2172402475561
9481166747131
10153881312113
115a295a97411
12259a6659301
1311684716249
14763b04b53b
15400970ccad
hex23d40a7b71

153881312113 has 64 divisors (see below), whose sum is σ = 181488384000. Its totient is φ = 129404335104.

The previous prime is 153881312111. The next prime is 153881312153. The reversal of 153881312113 is 311213188351.

153881312113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153881312113 - 21 = 153881312111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153881312111) 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 63 ways as a sum of consecutive naturals, for example, 248596318 + ... + 248596936.

It is an arithmetic number, because the mean of its divisors is an integer number (2835756000).

Almost surely, 2153881312113 is an apocalyptic number.

It is an amenable number.

153881312113 is a deficient number, since it is larger than the sum of its proper divisors (27607071887).

153881312113 is a wasteful number, since it uses less digits than its factorization.

153881312113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094.

The product of its digits is 17280, while the sum is 37.

The spelling of 153881312113 in words is "one hundred fifty-three billion, eight hundred eighty-one million, three hundred twelve thousand, one hundred thirteen".

Divisors: 1 17 19 23 109 307 323 391 437 619 1853 2071 2507 5219 5833 7061 7429 10523 11761 14237 33463 35207 42619 47633 67471 99161 120037 134159 190033 199937 242029 270503 568871 635797 769649 809761 1147007 1281949 1551833 2280703 3230561 3610627 4370759 4598551 10808549 13084033 14623331 20713597 21793133 26381161 29484827 61380659 74302903 83044421 248596627 352131149 393558343 476412731 501242059 1411755157 6690491831 8099016427 9051841889 153881312113