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103222231320 = 2335131719919559
BaseRepresentation
bin110000000100010000…
…1100100000100011000
3100212102201211122122110
41200020201210010120
53142344342400240
6115230350352320
710312641326625
oct1401041440430
9325381748573
10103222231320
113a85a29319a
1218008abb6a0
1399702631b0
144dd2d9534c
152a42079c80
hex1808864118

103222231320 has 256 divisors, whose sum is σ = 354896640000. Its totient is φ = 23792541696.

The previous prime is 103222231313. The next prime is 103222231327. The reversal of 103222231320 is 23132222301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103222231313) and next prime (103222231327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103222231327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5267701 + ... + 5287259.

It is an arithmetic number, because the mean of its divisors is an integer number (1386315000).

Almost surely, 2103222231320 is an apocalyptic number.

103222231320 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 103222231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177448320000).

103222231320 is an abundant number, since it is smaller than the sum of its proper divisors (251674408680).

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

103222231320 is a wasteful number, since it uses less digits than its factorization.

103222231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19802 (or 19798 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103222231320 its reverse (23132222301), we get a palindrome (126354453621).

The spelling of 103222231320 in words is "one hundred three billion, two hundred twenty-two million, two hundred thirty-one thousand, three hundred twenty".