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102103220220232 = 237211474637108649
BaseRepresentation
bin10111001101110011000010…
…001010111111000101001000
3111101111222020222012212012111
4113031303002022333011020
5101340324343334021412
61001053323303152104
730335466660063100
oct2715630212770510
9441458228185174
10102103220220232
112a595806a971a0
12b550355a45634
1344c83a53b7cba
141b2db72292200
15bc0e1457b2a7
hex5cdcc22bf148

102103220220232 has 192 divisors, whose sum is σ = 248169881376000. Its totient is φ = 38925327651840.

The previous prime is 102103220220193. The next prime is 102103220220263. The reversal of 102103220220232 is 232022022301201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 939698644 + ... + 939807292.

It is an arithmetic number, because the mean of its divisors is an integer number (1292551465500).

Almost surely, 2102103220220232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102103220220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124084940688000).

102103220220232 is an abundant number, since it is smaller than the sum of its proper divisors (146066661155768).

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

102103220220232 is a wasteful number, since it uses less digits than its factorization.

102103220220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113364 (or 113353 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 102103220220232 its reverse (232022022301201), we get a palindrome (334125242521433).

The spelling of 102103220220232 in words is "one hundred two trillion, one hundred three billion, two hundred twenty million, two hundred twenty thousand, two hundred thirty-two".