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100141344316 = 221323298932441
BaseRepresentation
bin101110101000011100…
…0111010011000111100
3100120111000121101012101
41131100320322120330
53120042141004231
6114000532314444
710143411245026
oct1352070723074
9316430541171
10100141344316
11395191a6192
12174a9172a24
13959bb9a930
144bbdb35016
152911859661
hex1750e3a63c

100141344316 has 96 divisors (see below), whose sum is σ = 206019676800. Its totient is φ = 42204180480.

The previous prime is 100141344313. The next prime is 100141344319. The reversal of 100141344316 is 613443141001.

It is an interprime number because it is at equal distance from previous prime (100141344313) and next prime (100141344319).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100141344313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3070656 + ... + 3103096.

It is an arithmetic number, because the mean of its divisors is an integer number (2146038300).

Almost surely, 2100141344316 is an apocalyptic number.

It is an amenable number.

100141344316 is an abundant number, since it is smaller than the sum of its proper divisors (105878332484).

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

100141344316 is a wasteful number, since it uses less digits than its factorization.

100141344316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32599 (or 32597 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 100141344316 its reverse (613443141001), we get a palindrome (713584485317).

The spelling of 100141344316 in words is "one hundred billion, one hundred forty-one million, three hundred forty-four thousand, three hundred sixteen".

Divisors: 1 2 4 13 23 26 29 46 52 58 89 92 116 178 299 356 377 598 667 754 1157 1196 1334 1508 2047 2314 2581 2668 4094 4628 5162 8188 8671 10324 17342 26611 32441 33553 34684 53222 59363 64882 67106 106444 118726 129764 134212 237452 421733 746143 771719 843466 940789 1492286 1543438 1686932 1881578 2887249 2984572 3086876 3763156 5774498 9699859 11548996 12230257 19399718 21638147 24460514 37534237 38799436 43276294 48921028 66406727 75068474 83730221 86552588 132813454 150136948 167460442 265626908 281295911 334920884 562591822 863287451 1088492873 1125183644 1726574902 1925795083 2176985746 3453149804 3851590166 4353971492 7703180332 25035336079 50070672158 100141344316