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1201021020020 = 225734657176641
BaseRepresentation
bin10001011110100010011…
…011100110011101110100
311020211001012221022010202
4101132202123212131310
5124134142340120040
62315424052340032
7152525264141543
oct21364233463564
94224035838122
101201021020020
11423394067598
12174923614618
1389342ca4673
14421b5d8815a
1521394670015
hex117a26e6774

1201021020020 has 48 divisors (see below), whose sum is σ = 2557257539088. Its totient is φ = 473723043840.

The previous prime is 1201021020011. The next prime is 1201021020029. The reversal of 1201021020020 is 200201201021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1201021020011) and next prime (1201021020029).

It can be written as a sum of positive squares in 8 ways, for example, as 35148000484 + 1165873019536 = 187478^2 + 1079756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1201021019983 and 1201021020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201021020029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6710900 + ... + 6887540.

It is an arithmetic number, because the mean of its divisors is an integer number (53276198731).

Almost surely, 21201021020020 is an apocalyptic number.

1201021020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201021020020 is an abundant number, since it is smaller than the sum of its proper divisors (1356236519068).

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

1201021020020 is a wasteful number, since it uses less digits than its factorization.

1201021020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181380 (or 181378 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1201021020020 its reverse (200201201021), we get a palindrome (1401222221041).

The spelling of 1201021020020 in words is "one trillion, two hundred one billion, twenty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 4657 9314 18628 23285 46570 93140 176641 339961 353282 679922 706564 883205 1359844 1699805 1766410 3399610 3532820 6799220 12894793 25789586 51579172 64473965 128947930 257895860 822617137 1645234274 3290468548 4113085685 8226171370 16452342740 60051051001 120102102002 240204204004 300255255005 600510510010 1201021020020