Search a number
-
+
10241211214200 = 2335275722547801
BaseRepresentation
bin1001010100000111011111…
…0000011010100101111000
31100021001100121200112100110
42111001313300122211320
52320243000032323300
633440425242304320
72104621522004661
oct225016760324570
940231317615313
1010241211214200
11329930081942a
121194994ab80a0
13593985449835
1427596a5ca368
1512b5e63a2550
hex95077c1a978

10241211214200 has 96 divisors (see below), whose sum is σ = 31789695083760. Its totient is φ = 2727381888000.

The previous prime is 10241211214177. The next prime is 10241211214301. The reversal of 10241211214200 is 241211214201.

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, 10819701 + ... + 11728100.

Almost surely, 210241211214200 is an apocalyptic number.

10241211214200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10241211214200 is an abundant number, since it is smaller than the sum of its proper divisors (21548483869560).

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

10241211214200 is a wasteful number, since it uses less digits than its factorization.

10241211214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22548577 (or 22548568 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10241211214200 its reverse (241211214201), we get a palindrome (10482422428401).

Subtracting from 10241211214200 its reverse (241211214201), we obtain a palindrome (9999999999999).

The spelling of 10241211214200 in words is "ten trillion, two hundred forty-one billion, two hundred eleven million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 757 1514 2271 3028 3785 4542 6056 7570 9084 11355 15140 18168 18925 22710 30280 37850 45420 56775 75700 90840 113550 151400 227100 454200 22547801 45095602 67643403 90191204 112739005 135286806 180382408 225478010 270573612 338217015 450956020 541147224 563695025 676434030 901912040 1127390050 1352868060 1691085075 2254780100 2705736120 3382170150 4509560200 6764340300 13528680600 17068685357 34137370714 51206056071 68274741428 85343426785 102412112142 136549482856 170686853570 204824224284 256030280355 341373707140 409648448568 426717133925 512060560710 682747414280 853434267850 1024121121420 1280151401775 1706868535700 2048242242840 2560302803550 3413737071400 5120605607100 10241211214200