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101340351200 = 25521111515949
BaseRepresentation
bin101111001100001011…
…0110000101011100000
3100200120120202020102202
41132120112300223200
53130021112214300
6114315523232332
710215210525644
oct1363026605340
9320516666382
10101340351200
1139a83a93870
12177828186a8
13973040506a
144c95086c24
152981c4aad5
hex17985b0ae0

101340351200 has 72 divisors (see below), whose sum is σ = 269887804200. Its totient is φ = 36851033600.

The previous prime is 101340351191. The next prime is 101340351269. The reversal of 101340351200 is 2153043101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5749175 + ... + 5766774.

It is an arithmetic number, because the mean of its divisors is an integer number (3748441725).

Almost surely, 2101340351200 is an apocalyptic number.

101340351200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101340351200 is an abundant number, since it is smaller than the sum of its proper divisors (168547453000).

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

101340351200 is a wasteful number, since it uses less digits than its factorization.

101340351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11515980 (or 11515967 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 101340351200 its reverse (2153043101), we get a palindrome (103493394301).

The spelling of 101340351200 in words is "one hundred one billion, three hundred forty million, three hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 11515949 23031898 46063796 57579745 92127592 115159490 126675439 184255184 230318980 253350878 287898725 368510368 460637960 506701756 575797450 633377195 921275920 1013403512 1151594900 1266754390 1842551840 2026807024 2303189800 2533508780 3166885975 4053614048 4606379600 5067017560 6333771950 9212759200 10134035120 12667543900 20268070240 25335087800 50670175600 101340351200