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103222210000 = 2454713671693
BaseRepresentation
bin110000000100010000…
…1011110110111010000
3100212102201210120101211
41200020201132313100
53142344341210000
6115230350105504
710312641210520
oct1401041366720
9325381716354
10103222210000
113a85a279178
1218008aab294
139970256590
144dd2d8b680
152a420737ba
hex180885edd0

103222210000 has 400 divisors, whose sum is σ = 312358313344. Its totient is φ = 32161536000.

The previous prime is 103222209991. The next prime is 103222210001. The reversal of 103222210000 is 12222301.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103222210001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60969154 + ... + 60970846.

Almost surely, 2103222210000 is an apocalyptic number.

103222210000 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 103222210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156179156672).

103222210000 is an abundant number, since it is smaller than the sum of its proper divisors (209136103344).

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

103222210000 is a wasteful number, since it uses less digits than its factorization.

103222210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 103222210000 its reverse (12222301), we get a palindrome (103234432301).

The spelling of 103222210000 in words is "one hundred three billion, two hundred twenty-two million, two hundred ten thousand".