Search a number
-
+
2106323262630 = 2335173733122929
BaseRepresentation
bin11110101001101010101…
…001100101110010100110
321110100210021211012212000
4132221222221211302212
5234002222223401010
64251344225310130
7305114440216416
oct36515251456246
97410707735760
102106323262630
1174231762a774
122a0277495346
131238190c3b22
1473d3762a646
1539bcc4067c0
hex1ea6aa65ca6

2106323262630 has 128 divisors (see below), whose sum is σ = 5948907235200. Its totient is φ = 528499924992.

The previous prime is 2106323262623. The next prime is 2106323262671. The reversal of 2106323262630 is 362623236012.

2106323262630 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 3 + 23 + 2 + 626 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17073006 + ... + 17195934.

It is an arithmetic number, because the mean of its divisors is an integer number (46475837775).

Almost surely, 22106323262630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106323262630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974453617600).

2106323262630 is an abundant number, since it is smaller than the sum of its proper divisors (3842583972570).

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

2106323262630 is a wasteful number, since it uses less digits than its factorization.

2106323262630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126695 (or 126689 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 2106323262630 its reverse (362623236012), we get a palindrome (2468946498642).

The spelling of 2106323262630 in words is "two trillion, one hundred six billion, three hundred twenty-three million, two hundred sixty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 3733 4590 7466 11199 18665 22398 33597 37330 55995 63461 67194 100791 111990 122929 126922 167985 190383 201582 245858 317305 335970 368787 380766 503955 571149 614645 634610 737574 951915 1007910 1106361 1142298 1229290 1713447 1843935 1903830 2089793 2212722 2855745 3319083 3426894 3687870 4179586 5531805 5711490 6269379 6638166 8567235 10448965 11063610 12538758 16595415 17134470 18808137 20897930 31346895 33190830 37616274 56424411 62693790 94040685 112848822 188081370 282122055 458893957 564244110 917787914 1376681871 2294469785 2753363742 4130045613 4588939570 6883409355 7801197269 8260091226 12390136839 13766818710 15602394538 20650228065 23403591807 24780273678 39005986345 41300456130 46807183614 61950684195 70210775421 78011972690 117017959035 123901368390 140421550842 210632326263 234035918070 351053877105 421264652526 702107754210 1053161631315 2106323262630