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1002122001020 = 225739139182887
BaseRepresentation
bin11101001010100110010…
…00000011101001111100
310112210122121100020122102
432211103020003221330
5112404321213013040
62044211332204232
7132254342314640
oct16452310035174
93483577306572
101002122001020
11356aa7820748
12142274769678
1373665aba84a
14367081bcc20
151b102bc7515
hexe953203a7c

1002122001020 has 48 divisors (see below), whose sum is σ = 2405167403520. Its totient is φ = 343574028864.

The previous prime is 1002122000927. The next prime is 1002122001037. The reversal of 1002122001020 is 201002212001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002122000992 and 1002122001010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5388017 + ... + 5570903.

It is an arithmetic number, because the mean of its divisors is an integer number (50107654240).

Almost surely, 21002122001020 is an apocalyptic number.

1002122001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002122001020 is an abundant number, since it is smaller than the sum of its proper divisors (1403045402500).

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

1002122001020 is a wasteful number, since it uses less digits than its factorization.

1002122001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222042 (or 222040 counting only the distinct ones).

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

Adding to 1002122001020 its reverse (201002212001), we get a palindrome (1203124213021).

The spelling of 1002122001020 in words is "one trillion, two billion, one hundred twenty-two million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 39139 78278 156556 182887 195695 273973 365774 391390 547946 731548 782780 914435 1095892 1280209 1369865 1828870 2560418 2739730 3657740 5120836 5479460 6401045 12802090 25604180 7158014293 14316028586 28632057172 35790071465 50106100051 71580142930 100212200102 143160285860 200424400204 250530500255 501061000510 1002122001020