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1023112310220 = 22325711133743283
BaseRepresentation
bin11101110001101100011…
…11101110110111001100
310121210211110022102201200
432320312033232313030
5113230313222411340
62102002235305500
7133626451101450
oct16706617566714
93553743272650
101023112310220
11364999254720
121463522ab290
137562c6bb750
1437739c0c660
151b93085d330
hexee363eedcc

1023112310220 has 1728 divisors, whose sum is σ = 4434099231744. Its totient is φ = 184250142720.

The previous prime is 1023112310203. The next prime is 1023112310237. The reversal of 1023112310220 is 220132113201.

1023112310220 is a `hidden beast` number, since 1 + 0 + 23 + 112 + 310 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (1023112310203) and next prime (1023112310237).

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

It is a junction number, because it is equal to n+sod(n) for n = 1023112310193 and 1023112310202.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12326654299 + ... + 12326654381.

It is an arithmetic number, because the mean of its divisors is an integer number (2566029648).

Almost surely, 21023112310220 is an apocalyptic number.

1023112310220 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 1023112310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217049615872).

1023112310220 is an abundant number, since it is smaller than the sum of its proper divisors (3410986921524).

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

1023112310220 is a wasteful number, since it uses less digits than its factorization.

1023112310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1023112310220 its reverse (220132113201), we get a palindrome (1243244423421).

The spelling of 1023112310220 in words is "one trillion, twenty-three billion, one hundred twelve million, three hundred ten thousand, two hundred twenty".