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100241413140 = 223511382139749
BaseRepresentation
bin101110101011011011…
…0101001010000010100
3100120201222220101211010
41131112312221100110
53120243300210030
6114014505212220
710146034644621
oct1352666512024
9316658811733
10100241413140
113956a7343a0
1217516791070
1395b683685b
144bcd143348
15291a5246b0
hex1756da9414

100241413140 has 96 divisors (see below), whose sum is σ = 306279792000. Its totient is φ = 24293977600.

The previous prime is 100241413123. The next prime is 100241413147. The reversal of 100241413140 is 41314142001.

100241413140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100241413147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2501986 + ... + 2541734.

It is an arithmetic number, because the mean of its divisors is an integer number (3190414500).

Almost surely, 2100241413140 is an apocalyptic number.

100241413140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100241413140 is an abundant number, since it is smaller than the sum of its proper divisors (206038378860).

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

100241413140 is a wasteful number, since it uses less digits than its factorization.

100241413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43593 (or 43591 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100241413140 its reverse (41314142001), we get a palindrome (141555555141).

The spelling of 100241413140 in words is "one hundred billion, two hundred forty-one million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3821 7642 11463 15284 19105 22926 38210 39749 42031 45852 57315 76420 79498 84062 114630 119247 126093 158996 168124 198745 210155 229260 238494 252186 397490 420310 437239 476988 504372 596235 630465 794980 840620 874478 1192470 1260930 1311717 1748956 2186195 2384940 2521860 2623434 4372390 5246868 6558585 8744780 13117170 26234340 151880929 303761858 455642787 607523716 759404645 911285574 1518809290 1670690219 1822571148 2278213935 3037618580 3341380438 4556427870 5012070657 6682760876 8353451095 9112855740 10024141314 16706902190 20048282628 25060353285 33413804380 50120706570 100241413140