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1122023001000 = 23353111759109311
BaseRepresentation
bin10000010100111101110…
…010000100101110101000
310222021010201020010122110
4100110331302010232220
5121340400342013000
62215241130522320
7144030530101356
oct20247562045650
93867121203573
101122023001000
113a2935807670
121615572963a0
1381a63621605
143c4403147d6
151e2be124850
hex1053dc84ba8

1122023001000 has 1024 divisors, whose sum is σ = 4163208192000. Its totient is φ = 248555520000.

The previous prime is 1122023000957. The next prime is 1122023001013. The reversal of 1122023001000 is 1003202211.

It is a super-2 number, since 2×11220230010002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3607790845 + ... + 3607791155.

It is an arithmetic number, because the mean of its divisors is an integer number (4065633000).

Almost surely, 21122023001000 is an apocalyptic number.

1122023001000 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 1122023001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081604096000).

1122023001000 is an abundant number, since it is smaller than the sum of its proper divisors (3041185191000).

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

1122023001000 is a wasteful number, since it uses less digits than its factorization.

1122023001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1122023001000 its reverse (1003202211), we get a palindrome (1123026203211).

The spelling of 1122023001000 in words is "one trillion, one hundred twenty-two billion, twenty-three million, one thousand".