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102231222000 = 24353371912411
BaseRepresentation
bin101111100110101110…
…1001010011011110000
3100202212200002011102120
41133031131022123300
53133332143101000
6114544145514240
710246246022625
oct1371535123360
9322780064376
10102231222000
113a3a0950226
1217991042980
139842b5334b
144d3b50834c
1529d50726a0
hex17cd74a6f0

102231222000 has 320 divisors, whose sum is σ = 340414783488. Its totient is φ = 26375040000.

The previous prime is 102231221969. The next prime is 102231222007. The reversal of 102231222000 is 222132201.

It is a happy number.

It is a super-2 number, since 2×1022312220002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102231222007) 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, 42400795 + ... + 42403205.

Almost surely, 2102231222000 is an apocalyptic number.

102231222000 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 102231222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170207391744).

102231222000 is an abundant number, since it is smaller than the sum of its proper divisors (238183561488).

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

102231222000 is a wasteful number, since it uses less digits than its factorization.

102231222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102231222000 its reverse (222132201), we get a palindrome (102453354201).

The spelling of 102231222000 in words is "one hundred two billion, two hundred thirty-one million, two hundred twenty-two thousand".