Search a number
-
+
202031131331100 = 22352821981936623
BaseRepresentation
bin101101111011111100001001…
…110100010000101000011100
3222111022222122220120101102110
4231323330021310100220130
5202440034224110043400
61553403453114554020
760361160525626041
oct5573741164205034
9874288586511373
10202031131331100
1159411a15771a45
121a7aaba1138910
1388965b93b8b16
1437c6504c951c8
151855460169e50
hexb7bf09d10a1c

202031131331100 has 72 divisors (see below), whose sum is σ = 584614534775040. Its totient is φ = 53868412767680.

The previous prime is 202031131331093. The next prime is 202031131331221. The reversal of 202031131331100 is 1133131130202.

It is a happy number.

202031131331100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38502612 + ... + 43434011.

It is an arithmetic number, because the mean of its divisors is an integer number (8119646316320).

Almost surely, 2202031131331100 is an apocalyptic number.

202031131331100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202031131331100 is an abundant number, since it is smaller than the sum of its proper divisors (382583403443940).

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

202031131331100 is a wasteful number, since it uses less digits than its factorization.

202031131331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81944859 (or 81944852 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 202031131331100 its reverse (1133131130202), we get a palindrome (203164262461302).

The spelling of 202031131331100 in words is "two hundred two trillion, thirty-one billion, one hundred thirty-one million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 8219 16438 24657 32876 41095 49314 82190 98628 123285 164380 205475 246570 410950 493140 616425 821900 1232850 2465700 81936623 163873246 245809869 327746492 409683115 491619738 819366230 983239476 1229049345 1638732460 2048415575 2458098690 4096831150 4916197380 6145246725 8193662300 12290493450 24580986900 673437104437 1346874208874 2020311313311 2693748417748 3367185522185 4040622626622 6734371044370 8081245253244 10101556566555 13468742088740 16835927610925 20203113133110 33671855221850 40406226266220 50507782832775 67343710443700 101015565665550 202031131331100