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1010120001220 = 2251129971632227
BaseRepresentation
bin11101011001011111101…
…10000000011011000100
310120120021222222202100001
432230233312000123010
5113022211210014340
62052013121131044
7132656500225531
oct16545766003304
93516258882301
101010120001220
1135a431452670
12143927189a84
137433bab0645
1436c664c5d88
151b41ee2a29a
hexeb2fd806c4

1010120001220 has 96 divisors (see below), whose sum is σ = 2418570161280. Its totient is φ = 350993879040.

The previous prime is 1010120001197. The next prime is 1010120001223. The reversal of 1010120001220 is 221000210101.

1010120001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1010120001197 and 1010120001206.

It is not an unprimeable number, because it can be changed into a prime (1010120001223) 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, 197254 + ... + 1434973.

It is an arithmetic number, because the mean of its divisors is an integer number (25193439180).

Almost surely, 21010120001220 is an apocalyptic number.

1010120001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010120001220 is an abundant number, since it is smaller than the sum of its proper divisors (1408450160060).

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

1010120001220 is a wasteful number, since it uses less digits than its factorization.

1010120001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632373 (or 1632371 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010120001220 its reverse (221000210101), we get a palindrome (1231120211321).

The spelling of 1010120001220 in words is "one trillion, ten billion, one hundred twenty million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 97 110 116 145 194 220 290 319 388 485 580 638 970 1067 1276 1595 1940 2134 2813 3190 4268 5335 5626 6380 10670 11252 14065 21340 28130 30943 56260 61886 123772 154715 309430 618860 1632227 3264454 6528908 8161135 16322270 17954497 32644540 35908994 47334583 71817988 89772485 94669166 158326019 179544970 189338332 236672915 316652038 359089940 473345830 520680413 633304076 791630095 946691660 1041360826 1583260190 1741586209 2082721652 2603402065 3166520380 3483172418 4591454551 5206804130 6966344836 8707931045 9182909102 10413608260 17415862090 18365818204 22957272755 34831724180 45914545510 50506000061 91829091020 101012000122 202024000244 252530000305 505060000610 1010120001220