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1002000011202 = 233107409424001
BaseRepresentation
bin11101001010010111101…
…10101100111111000010
310112210100002210112002000
432211023312230333002
5112404044000324302
62044151253404430
7132251331365331
oct16451366547702
93483302715060
101002000011202
11356a4497aa13
1214223b939716
1373646748018
14366d5d05d18
151b0e712c31c
hexe94bdacfc2

1002000011202 has 64 divisors (see below), whose sum is σ = 2252977027200. Its totient is φ = 330068736000.

The previous prime is 1002000011179. The next prime is 1002000011203. The reversal of 1002000011202 is 2021100002001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1002000011203) 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 31 ways as a sum of consecutive naturals, for example, 2151202 + ... + 2575202.

It is an arithmetic number, because the mean of its divisors is an integer number (35202766050).

Almost surely, 21002000011202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002000011202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126488513600).

1002000011202 is an abundant number, since it is smaller than the sum of its proper divisors (1250977015998).

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

1002000011202 is a wasteful number, since it uses less digits than its factorization.

1002000011202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424528 (or 424522 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002000011202 its reverse (2021100002001), we get a palindrome (3023100013203).

The spelling of 1002000011202 in words is "one trillion, two billion, eleven thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 409 642 818 963 1227 1926 2454 2889 3681 5778 7362 11043 22086 43763 87526 131289 262578 393867 424001 787734 848002 1181601 1272003 2363202 2544006 3816009 7632018 11448027 22896054 45368107 90736214 136104321 173416409 272208642 346832818 408312963 520249227 816625926 1040498454 1224938889 1560747681 2449877778 3121495362 4682243043 9364486086 18555555763 37111111526 55666667289 111333334578 167000001867 334000003734 501000005601 1002000011202