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10100252144 = 246167257601
BaseRepresentation
bin10010110100000010…
…11001110111110000
3222001220101222012202
421122001121313300
5131141131032034
64350123242332
7505202504153
oct113201316760
928056358182
1010100252144
114313368a24
121b5a6793a8
13c4c6bb978
146bb5bbc9a
153e1ab247e
hex25a059df0

10100252144 has 80 divisors (see below), whose sum is σ = 20299179936. Its totient is φ = 4866048000.

The previous prime is 10100252101. The next prime is 10100252159. The reversal of 10100252144 is 44125200101.

It is a happy number.

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, 16805444 + ... + 16806044.

Almost surely, 210100252144 is an apocalyptic number.

It is an amenable number.

10100252144 is an abundant number, since it is smaller than the sum of its proper divisors (10198927792).

10100252144 is a wasteful number, since it uses less digits than its factorization.

10100252144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 10100252144 its reverse (44125200101), we get a palindrome (54225452245).

The spelling of 10100252144 in words is "ten billion, one hundred million, two hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 61 67 122 134 244 257 268 488 514 536 601 976 1028 1072 1202 2056 2404 4087 4112 4808 8174 9616 15677 16348 17219 31354 32696 34438 36661 40267 62708 65392 68876 73322 80534 125416 137752 146644 154457 161068 250832 275504 293288 308914 322136 586576 617828 644272 1050359 1235656 2100718 2456287 2471312 4201436 4912574 8402872 9421877 9825148 10348619 16805744 18843754 19650296 20697238 37687508 39300592 41394476 75375016 82788952 150750032 165577904 631265759 1262531518 2525063036 5050126072 10100252144