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1023200221230 = 233511107230091
BaseRepresentation
bin11101110001110110111…
…11000101100000101110
310121211001120201202222000
432320323133011200232
5113231003224034410
62102015055433130
7133631566243665
oct16707337054056
93554046652860
101023200221230
11364a33939550
121463778257a6
137564498b8b5
1437747773ddc
151b938425dc0
hexee3b7c582e

1023200221230 has 192 divisors, whose sum is σ = 3004760828160. Its totient is φ = 245722161600.

The previous prime is 1023200221223. The next prime is 1023200221291. The reversal of 1023200221230 is 321220023201.

1023200221230 is a `hidden beast` number, since 10 + 2 + 3 + 200 + 221 + 230 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 33988485 + ... + 34018575.

It is an arithmetic number, because the mean of its divisors is an integer number (15649795980).

Almost surely, 21023200221230 is an apocalyptic number.

1023200221230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023200221230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502380414080).

1023200221230 is an abundant number, since it is smaller than the sum of its proper divisors (1981560606930).

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

1023200221230 is a wasteful number, since it uses less digits than its factorization.

1023200221230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30332 (or 30219 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1023200221230 its reverse (321220023201), we get a palindrome (1344420244431).

The spelling of 1023200221230 in words is "one trillion, twenty-three billion, two hundred million, two hundred twenty-one thousand, two hundred thirty".