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202351152133 = 13172137393137
BaseRepresentation
bin1011110001110100010…
…0011000110000000101
3201100022012101120220001
42330131010120300011
511303403343332013
6232543035241301
720422310261644
oct2743504306005
9640265346801
10202351152133
11788a8a4a639
1233272ba9231
131610a463c60
149b1846735b
1553e4a9bddd
hex2f1d118c05

202351152133 has 24 divisors (see below), whose sum is σ = 233179583112. Its totient is φ = 174514642944.

The previous prime is 202351152127. The next prime is 202351152181. The reversal of 202351152133 is 331251153202.

It can be written as a sum of positive squares in 12 ways, for example, as 20754147969 + 181597004164 = 144063^2 + 426142^2 .

It is a de Polignac number, because none of the positive numbers 2k-202351152133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202351152533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318141 + ... + 711277.

It is an arithmetic number, because the mean of its divisors is an integer number (9715815963).

Almost surely, 2202351152133 is an apocalyptic number.

It is an amenable number.

202351152133 is a deficient number, since it is larger than the sum of its proper divisors (30828430979).

202351152133 is a wasteful number, since it uses less digits than its factorization.

202351152133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393321 (or 393304 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 202351152133 in words is "two hundred two billion, three hundred fifty-one million, one hundred fifty-two thousand, one hundred thirty-three".

Divisors: 1 13 17 137 221 289 1781 2329 3757 30277 39593 393137 514709 5110781 6683329 53859769 86883277 113616593 700176997 915616073 1477015709 11903008949 15565473241 202351152133