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1012102120120 = 235713278050033
BaseRepresentation
bin11101011101001011111…
…11001100001010111000
310120202102010200211022011
432232211333030022320
5113040241120320440
62052541524535304
7133056556035040
oct16564577141270
93522363624264
101012102120120
11360259296963
1214419ab51534
1374596636b70
1436db3848720
151b4d8e599ea
hexeba5fcc2b8

1012102120120 has 64 divisors (see below), whose sum is σ = 2802744342720. Its totient is φ = 320313636864.

The previous prime is 1012102120111. The next prime is 1012102120123. The reversal of 1012102120120 is 210212012101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1012102120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012102120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139021377 + ... + 139028656.

It is an arithmetic number, because the mean of its divisors is an integer number (43792880355).

Almost surely, 21012102120120 is an apocalyptic number.

1012102120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012102120120 is an abundant number, since it is smaller than the sum of its proper divisors (1790642222600).

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

1012102120120 is a wasteful number, since it uses less digits than its factorization.

1012102120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278050064 (or 278050060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012102120120 its reverse (210212012101), we get a palindrome (1222314132221).

The spelling of 1012102120120 in words is "one trillion, twelve billion, one hundred two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 278050033 556100066 1112200132 1390250165 1946350231 2224400264 2780500330 3614650429 3892700462 5561000660 7229300858 7785400924 9731751155 11122001320 14458601716 15570801848 18073252145 19463502310 25302553003 28917203432 36146504290 38927004620 50605106006 72293008580 77854009240 101210212012 126512765015 144586017160 202420424024 253025530030 506051060060 1012102120120