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102120301221300 = 2232521011123435657
BaseRepresentation
bin10111001110000010111100…
…010001110101010110110100
3111101120121100101010121200200
4113032002330101311112310
5101341114334103040200
61001105230240240500
730336643156150035
oct2716027421652664
9441517311117620
10102120301221300
112a5a1a818500aa
12b553722310130
1344c9b980cc31b
141b30912a18a8c
15bc15b3e03800
hex5ce0bc4755b4

102120301221300 has 108 divisors (see below), whose sum is σ = 323259623104236. Its totient is φ = 26962455744000.

The previous prime is 102120301221241. The next prime is 102120301221331. The reversal of 102120301221300 is 3122103021201.

102120301221300 is a `hidden beast` number, since 1 + 0 + 21 + 20 + 301 + 2 + 21 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 58461436944 + 102061839784356 = 241788^2 + 10102566^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 561626929 + ... + 561808728.

Almost surely, 2102120301221300 is an apocalyptic number.

102120301221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120301221300 is an abundant number, since it is smaller than the sum of its proper divisors (221139321882936).

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

102120301221300 is a wasteful number, since it uses less digits than its factorization.

102120301221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123435778 (or 1123435768 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102120301221300 its reverse (3122103021201), we get a palindrome (105242404242501).

The spelling of 102120301221300 in words is "one hundred two trillion, one hundred twenty billion, three hundred one million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 101 150 180 202 225 300 303 404 450 505 606 900 909 1010 1212 1515 1818 2020 2525 3030 3636 4545 5050 6060 7575 9090 10100 15150 18180 22725 30300 45450 90900 1123435657 2246871314 3370306971 4493742628 5617178285 6740613942 10110920913 11234356570 13481227884 16851534855 20221841826 22468713140 28085891425 33703069710 40443683652 50554604565 56171782850 67406139420 84257674275 101109209130 112343565700 113467001357 168515348550 202218418260 226934002714 252773022825 337030697100 340401004071 453868005428 505546045650 567335006785 680802008142 1011092091300 1021203012213 1134670013570 1361604016284 1702005020355 2042406024426 2269340027140 2836675033925 3404010040710 4084812048852 5106015061065 5673350067850 6808020081420 8510025101775 10212030122130 11346700135700 17020050203550 20424060244260 25530075305325 34040100407100 51060150610650 102120301221300