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100140343141302 = 233192413347121001
BaseRepresentation
bin10110110001001110111101…
…100101001010001110110110
3111010120022201200200210102000
4112301032331211022032312
5101111144410321010202
6552551501043200130
730043621025151432
oct2661167545121666
9433508650623360
10100140343141302
11299a9310060472
12b293a52376046
1343b5269b2c319
141aa2b65c439c2
15b89d306c291c
hex5b13bd94a3b6

100140343141302 has 128 divisors (see below), whose sum is σ = 235290615436800. Its totient is φ = 31482380160000.

The previous prime is 100140343141213. The next prime is 100140343141327. The reversal of 100140343141302 is 203141343041001.

100140343141302 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 4 + 0 + 343 + 14 + 1 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 827538802 + ... + 827659802.

It is an arithmetic number, because the mean of its divisors is an integer number (1838207933100).

Almost surely, 2100140343141302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100140343141302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117645307718400).

100140343141302 is an abundant number, since it is smaller than the sum of its proper divisors (135150272295498).

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

100140343141302 is a wasteful number, since it uses less digits than its factorization.

100140343141302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124619 (or 124613 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 100140343141302 its reverse (203141343041001), we get a palindrome (303281686182303).

The spelling of 100140343141302 in words is "one hundred trillion, one hundred forty billion, three hundred forty-three million, one hundred forty-one thousand, three hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 241 342 482 513 723 1026 1446 2169 3347 4338 4579 6507 6694 9158 10041 13014 13737 20082 27474 30123 41211 60246 63593 82422 90369 121001 123633 127186 180738 190779 242002 247266 363003 381558 572337 726006 806627 1089009 1144674 1613254 1717011 2178018 2299019 2419881 3267027 3434022 4598038 4839762 6534054 6897057 7259643 13794114 14519286 15325913 20691171 21778929 29161241 30651826 41382342 43557858 45977739 58322482 62073513 87483723 91955478 124147026 137933217 174967446 262451169 275866434 404990347 413799651 524902338 554063579 787353507 809980694 827599302 1108127158 1214971041 1574707014 1662190737 2429942082 3324381474 3644913123 4986572211 7289826246 7694816593 9973144422 10934739369 14959716633 15389633186 21869478738 23084449779 29919433266 46168899558 69253349337 97602673627 138506698674 195205347254 207760048011 292808020881 415520096022 585616041762 878424062643 1756848125286 1854450798913 2635272187929 3708901597826 5270544375858 5563352396739 11126704793478 16690057190217 33380114380434 50070171570651 100140343141302