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2101031344132 = 2274759127921157
BaseRepresentation
bin11110100100101111001…
…110100001100000000100
321102212010111010220101121
4132210233032201200010
5233410403011003012
64245111145203324
7304536341521540
oct36445716414004
97385114126347
102101031344132
11740051469006
1229b23b190544
131231849369c6
147399489aa20
15399bca3aa07
hex1e92f3a1804

2101031344132 has 96 divisors (see below), whose sum is σ = 4367823667200. Its totient is φ = 865628373888.

The previous prime is 2101031344103. The next prime is 2101031344187. The reversal of 2101031344132 is 2314431301012.

It is a super-2 number, since 2×21010313441322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101031344097 and 2101031344106.

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, 99296098 + ... + 99317254.

It is an arithmetic number, because the mean of its divisors is an integer number (45498163200).

Almost surely, 22101031344132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101031344132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183911833600).

2101031344132 is an abundant number, since it is smaller than the sum of its proper divisors (2266792323068).

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

2101031344132 is a wasteful number, since it uses less digits than its factorization.

2101031344132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22553 (or 22551 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 2101031344132 its reverse (2314431301012), we get a palindrome (4415462645144).

The spelling of 2101031344132 in words is "two trillion, one hundred one billion, thirty-one million, three hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 47 59 94 118 188 236 329 413 658 826 1279 1316 1652 2558 2773 5116 5546 8953 11092 17906 19411 21157 35812 38822 42314 60113 75461 77644 84628 120226 148099 150922 240452 296198 301844 420791 528227 592396 841582 994379 1056454 1248263 1683164 1988758 2112908 2496526 3546667 3977516 4993052 6960653 7093334 8737841 13921306 14186668 17475682 24826669 27059803 27842612 34951364 49653338 54119606 58668361 99306676 108239212 117336722 189418621 234673444 378837242 410678527 757674484 821357054 1271810741 1596528377 1642714108 2543621482 3193056754 5087242964 6386113508 8902675187 11175698639 17805350374 22351397278 35610700748 44702794556 75036833719 150073667438 300147334876 525257836033 1050515672066 2101031344132