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1023056121450 = 2352111767544367
BaseRepresentation
bin11101110001100101110…
…01011000111001101010
310121210200112120202020010
432320302321120321222
5113230204331341300
62101552511112350
7133625166360006
oct16706271307152
93553615522203
101023056121450
1136496a567220
121463375126b6
1375620b7745c
1437732583706
151b92a95ea50
hexee32e58e6a

1023056121450 has 192 divisors, whose sum is σ = 2974391912448. Its totient is φ = 229940198400.

The previous prime is 1023056121421. The next prime is 1023056121457. The reversal of 1023056121450 is 541216503201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1023056121457) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1607167 + ... + 2151533.

It is an arithmetic number, because the mean of its divisors is an integer number (15491624544).

Almost surely, 21023056121450 is an apocalyptic number.

1023056121450 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 1023056121450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487195956224).

1023056121450 is an abundant number, since it is smaller than the sum of its proper divisors (1951335790998).

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

1023056121450 is a wasteful number, since it uses less digits than its factorization.

1023056121450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544477 (or 544472 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 1023056121450 in words is "one trillion, twenty-three billion, fifty-six million, one hundred twenty-one thousand, four hundred fifty".