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202144100334 = 231113774330089
BaseRepresentation
bin1011110001000010111…
…0100010111111101110
3201022202202210021012220
42330100232202333232
511302442342202314
6232510321340210
720414214334251
oct2742056427756
9638682707186
10202144100334
1178802090550
1233215797666
13160a65aacb7
149ad8b6b098
1553d17ed3a9
hex2f10ba2fee

202144100334 has 64 divisors (see below), whose sum is σ = 444873669120. Its totient is φ = 60724805120.

The previous prime is 202144100311. The next prime is 202144100357. The reversal of 202144100334 is 433001441202.

It is an interprime number because it is at equal distance from previous prime (202144100311) and next prime (202144100357).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6703162 + ... + 6733250.

It is an arithmetic number, because the mean of its divisors is an integer number (6951151080).

Almost surely, 2202144100334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202144100334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222436834560).

202144100334 is an abundant number, since it is smaller than the sum of its proper divisors (242729568786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202144100334 is a wasteful number, since it uses less digits than its factorization.

202144100334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30985.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 202144100334 its reverse (433001441202), we get a palindrome (635145541536).

The spelling of 202144100334 in words is "two hundred two billion, one hundred forty-four million, one hundred thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 137 274 411 743 822 1486 1507 2229 3014 4458 4521 8173 9042 16346 24519 30089 49038 60178 90267 101791 180534 203582 305373 330979 610746 661958 992937 1119701 1985874 2239402 3359103 4122193 6718206 8244386 12366579 22356127 24733158 44712254 45344123 67068381 90688246 134136762 136032369 245917397 272064738 491834794 737752191 1475504382 3062789399 6125578798 9188368197 18376736394 33690683389 67381366778 101072050167 202144100334