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10002113221320 = 233251137671018873
BaseRepresentation
bin1001000110001100110001…
…1001111101001011001000
31022102012012110122000111200
42101203030121331023020
52302333311441040240
633134523554424200
72051425455415353
oct221431431751310
938365173560450
1010002113221320
113206966182520
121156587592060
1357726cbc523c
14268167a5b29a
151252a071c930
hex918cc67d2c8

10002113221320 has 384 divisors, whose sum is σ = 36964096640640. Its totient is φ = 2324006277120.

The previous prime is 10002113221307. The next prime is 10002113221333. The reversal of 10002113221320 is 2312231120001.

10002113221320 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 21 + 1 + 322 + 1 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (10002113221307) and next prime (10002113221333).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10002113221293 and 10002113221302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9307404 + ... + 10326276.

It is an arithmetic number, because the mean of its divisors is an integer number (96260668335).

Almost surely, 210002113221320 is an apocalyptic number.

10002113221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002113221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18482048320320).

10002113221320 is an abundant number, since it is smaller than the sum of its proper divisors (26961983419320).

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

10002113221320 is a wasteful number, since it uses less digits than its factorization.

10002113221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019005 (or 1018998 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10002113221320 its reverse (2312231120001), we get a palindrome (12314344341321).

The spelling of 10002113221320 in words is "ten trillion, two billion, one hundred thirteen million, two hundred twenty-one thousand, three hundred twenty".