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1002155131999 = 72471572771669
BaseRepresentation
bin11101001010101010001…
…10011100010001011111
310112210201220200110210201
432211111012130101133
5112404403203210444
62044214514244331
7132255224033500
oct16452506342137
93483656613721
101002155131999
1135701449a51a
121422838866a7
137366c91a988
143670c764ba7
151b105a6ddd4
hexe95519c45f

1002155131999 has 24 divisors (see below), whose sum is σ = 1198159680960. Its totient is φ = 835358561856.

The previous prime is 1002155131937. The next prime is 1002155132039. The reversal of 1002155131999 is 9991315512001.

It is a happy number.

It is not a de Polignac number, because 1002155131999 - 223 = 1002146743391 is a prime.

It is a super-2 number, since 2×10021551319992 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002155131799) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024264 + ... + 1747405.

It is an arithmetic number, because the mean of its divisors is an integer number (49923320040).

Almost surely, 21002155131999 is an apocalyptic number.

1002155131999 is a deficient number, since it is larger than the sum of its proper divisors (196004548961).

1002155131999 is a wasteful number, since it uses less digits than its factorization.

1002155131999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771887 (or 2771880 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 46.

The spelling of 1002155131999 in words is "one trillion, two billion, one hundred fifty-five million, one hundred thirty-one thousand, nine hundred ninety-nine".

Divisors: 1 7 47 49 157 329 1099 2303 7379 7693 51653 361571 2771669 19401683 130268443 135811781 435152033 911879101 3046064231 6383153707 20452145551 21322449617 143165018857 1002155131999