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103221231300000 = 2532551110426387
BaseRepresentation
bin10111011110000100010000…
…110100110010110110100000
3111112110212001002022021112200
4113132010100310302312200
5102012134040203100000
61003311102400453200
730512326223340222
oct2736042064626640
9445425032267480
10103221231300000
112a986973107a80
12b6b0b7161a200
1345799497a2a08
141b6bd1182c412
15be004b373500
hex5de110d32da0

103221231300000 has 432 divisors, whose sum is σ = 400249934177184. Its totient is φ = 25023326400000.

The previous prime is 103221231299987. The next prime is 103221231300001. The reversal of 103221231300000 is 3132122301.

103221231300000 is a `hidden beast` number, since 1 + 0 + 322 + 12 + 31 + 300 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (103221231300001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4686807 + ... + 15113193.

It is an arithmetic number, because the mean of its divisors is an integer number (926504477262).

Almost surely, 2103221231300000 is an apocalyptic number.

103221231300000 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 103221231300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200124967088592).

103221231300000 is an abundant number, since it is smaller than the sum of its proper divisors (297028702877184).

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

103221231300000 is a wasteful number, since it uses less digits than its factorization.

103221231300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10426439 (or 10426408 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103221231300000 its reverse (3132122301), we get a palindrome (103224363422301).

The spelling of 103221231300000 in words is "one hundred three trillion, two hundred twenty-one billion, two hundred thirty-one million, three hundred thousand".