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152044205001 = 313191731186057
BaseRepresentation
bin1000110110011010001…
…0100111001111001001
3112112110012222212221220
42031212202213033021
54442341304030001
6153503110552253
713661540263413
oct2154642471711
9475405885856
10152044205001
1159532a98677
1225573368689
1311450c33310
1475050759b3
153e4d2c4c36
hex23668a73c9

152044205001 has 32 divisors (see below), whose sum is σ = 231138983040. Its totient is φ = 88128705024.

The previous prime is 152044204997. The next prime is 152044205003. The reversal of 152044205001 is 100502440251.

152044205001 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 152044205001 - 22 = 152044204997 is a prime.

It is a super-2 number, since 2×1520442050012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152044205003) 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, 464836 + ... + 721221.

It is an arithmetic number, because the mean of its divisors is an integer number (7223093220).

Almost surely, 2152044205001 is an apocalyptic number.

It is an amenable number.

152044205001 is a deficient number, since it is larger than the sum of its proper divisors (79094778039).

152044205001 is a wasteful number, since it uses less digits than its factorization.

152044205001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186265.

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 152044205001 its reverse (100502440251), we get a palindrome (252546645252).

The spelling of 152044205001 in words is "one hundred fifty-two billion, forty-four million, two hundred five thousand, one".

Divisors: 1 3 13 19 39 57 173 247 519 741 2249 3287 6747 9861 42731 128193 1186057 3558171 15418741 22535083 46256223 67605249 205187861 292956079 615563583 878868237 2667442193 3898569359 8002326579 11695708077 50681401667 152044205001