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103221131103000 = 23325343288792387
BaseRepresentation
bin10111011110000100001010…
…110110100100101100011000
3111112110211210002202202002200
4113132010022312210230120
5102012133334030244000
61003311044421130200
730512323565564541
oct2736041266445430
9445424702682080
10103221131103000
112a9869215a1539
12b6b0b43b59960
134579931ac0651
141b6bd023c94c8
15be0042680500
hex5de10ada4b18

103221131103000 has 384 divisors, whose sum is σ = 357128607813120. Its totient is φ = 26875900396800.

The previous prime is 103221131102987. The next prime is 103221131103007. The reversal of 103221131103000 is 301131122301.

103221131103000 is a `hidden beast` number, since 1 + 0 + 3 + 221 + 131 + 10 + 300 + 0 = 666.

103221131103000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103221131103007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1117222807 + ... + 1117315193.

It is an arithmetic number, because the mean of its divisors is an integer number (930022416180).

Almost surely, 2103221131103000 is an apocalyptic number.

103221131103000 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 103221131103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178564303906560).

103221131103000 is an abundant number, since it is smaller than the sum of its proper divisors (253907476710120).

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

103221131103000 is a wasteful number, since it uses less digits than its factorization.

103221131103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95344 (or 95327 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103221131103000 its reverse (301131122301), we get a palindrome (103522262225301).

The spelling of 103221131103000 in words is "one hundred three trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred three thousand".