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153023011251 = 31117272768291
BaseRepresentation
bin1000111010000011100…
…0011101100110110011
3112121222102210101201020
42032200320131212303
510001342342330001
6154144154110523
714025024064065
oct2164070354663
9477872711636
10153023011251
1159995556260
12257a711b443
131157895c906
147599067735
153ea91bb736
hex23a0e1d9b3

153023011251 has 16 divisors (see below), whose sum is σ = 235671804288. Its totient is φ = 87285852800.

The previous prime is 153023011147. The next prime is 153023011291. The reversal of 153023011251 is 152110320351.

153023011251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 153023011251 - 210 = 153023010227 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153023011291) 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 15 ways as a sum of consecutive naturals, for example, 136383585 + ... + 136384706.

It is an arithmetic number, because the mean of its divisors is an integer number (14729487768).

Almost surely, 2153023011251 is an apocalyptic number.

153023011251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

153023011251 is a deficient number, since it is larger than the sum of its proper divisors (82648793037).

153023011251 is a wasteful number, since it uses less digits than its factorization.

153023011251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272768322.

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 153023011251 in words is "one hundred fifty-three billion, twenty-three million, eleven thousand, two hundred fifty-one".

Divisors: 1 3 11 17 33 51 187 561 272768291 818304873 3000451201 4637060947 9001353603 13911182841 51007670417 153023011251