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202142963 = 113295237
BaseRepresentation
bin11000000110001…
…11010011110011
3112002100221000102
430003013103303
5403222033323
632020343015
75003121041
oct1403072363
9462327012
10202142963
11a4117000
1257844a6b
1332b57829
141cbbd391
1512b2e328
hexc0c74f3

202142963 has 16 divisors (see below), whose sum is σ = 230052960. Its totient is φ = 177395680.

The previous prime is 202142939. The next prime is 202142981. The reversal of 202142963 is 369241202.

202142963 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 202142963 - 226 = 135034099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202142263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35981 + ... + 41217.

It is an arithmetic number, because the mean of its divisors is an integer number (14378310).

Almost surely, 2202142963 is an apocalyptic number.

202142963 is a deficient number, since it is larger than the sum of its proper divisors (27909997).

202142963 is an equidigital number, since it uses as much as digits as its factorization.

202142963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5299 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 202142963 is about 14217.6989347784. The cubic root of 202142963 is about 586.8848190435.

The spelling of 202142963 in words is "two hundred two million, one hundred forty-two thousand, nine hundred sixty-three".

Divisors: 1 11 29 121 319 1331 3509 5237 38599 57607 151873 633677 1670603 6970447 18376633 202142963