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1002910114116 = 22321669092
BaseRepresentation
bin11101001100000100001…
…10011110000101000100
310112212200112022112120100
432212002012132011010
5112412424442122431
62044421444204100
7132313022212521
oct16460206360504
93485615275510
101002910114116
11357371682789
12142454699630
137376016b061
1436780b32148
151b14bea24e6
hexe98219e144

1002910114116 has 27 divisors (see below), whose sum is σ = 2535149088381. Its totient is φ = 334301368464.

The previous prime is 1002910114099. The next prime is 1002910114139. The reversal of 1002910114116 is 6114110192001.

The square root of 1002910114116 is 1001454.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 508588627716 + 494321486400 = 713154^2 + 703080^2 .

It is a super-2 number, since 2×10029101141162 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1002910114116.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5925270 + ... + 6092178.

Almost surely, 21002910114116 is an apocalyptic number.

1002910114116 is the 1001454-th square number.

It is an amenable number.

1002910114116 is an abundant number, since it is smaller than the sum of its proper divisors (1532238974265).

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

1002910114116 is an frugal number, since it uses more digits than its factorization.

1002910114116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333828 (or 166914 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 1002910114116 in words is "one trillion, two billion, nine hundred ten million, one hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 166909 333818 500727 667636 1001454 1502181 2002908 3004362 6008724 27858614281 55717228562 83575842843 111434457124 167151685686 250727528529 334303371372 501455057058 1002910114116