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202131320 = 23571103691
BaseRepresentation
bin11000000110001…
…00011101111000
3112002100100001012
430003010131320
5403221200240
632020213052
75003042066
oct1403043570
9462310035
10202131320
11a4109286
125783a188
1332b52441
141cbb9036
1512b2ab65
hexc0c4778

202131320 has 64 divisors (see below), whose sum is σ = 466352640. Its totient is φ = 78825600.

The previous prime is 202131313. The next prime is 202131361. The reversal of 202131320 is 23131202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202131295 and 202131304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292175 + ... + 292865.

It is an arithmetic number, because the mean of its divisors is an integer number (7286760).

Almost surely, 2202131320 is an apocalyptic number.

202131320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233176320).

202131320 is an abundant number, since it is smaller than the sum of its proper divisors (264221320).

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

202131320 is a wasteful number, since it uses less digits than its factorization.

202131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 202131320 is about 14217.2894744392. The cubic root of 202131320 is about 586.8735510592.

Adding to 202131320 its reverse (23131202), we get a palindrome (225262522).

The spelling of 202131320 in words is "two hundred two million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 103 142 206 284 355 412 515 568 691 710 824 1030 1382 1420 2060 2764 2840 3455 4120 5528 6910 7313 13820 14626 27640 29252 36565 49061 58504 71173 73130 98122 142346 146260 196244 245305 284692 292520 355865 392488 490610 569384 711730 981220 1423460 1962440 2846920 5053283 10106566 20213132 25266415 40426264 50532830 101065660 202131320