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1123223032100 = 2252131151750667
BaseRepresentation
bin10000010110000101010…
…011110101000100100100
310222101020100022000211202
4100112011103311010210
5121400330044011400
62220000155422032
7144102341146331
oct20260523650444
93871210260752
101123223032100
113a33a1134804
12161831154918
1381bc5126ca0
143c515851988
151e33e6694d5
hex105854f5124

1123223032100 has 72 divisors (see below), whose sum is σ = 2627169850368. Its totient is φ = 414367632000.

The previous prime is 1123223032093. The next prime is 1123223032133. The reversal of 1123223032100 is 12303223211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120967 + ... + 1871633.

It is an arithmetic number, because the mean of its divisors is an integer number (36488470144).

Almost surely, 21123223032100 is an apocalyptic number.

1123223032100 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 1123223032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313584925184).

1123223032100 is an abundant number, since it is smaller than the sum of its proper divisors (1503946818268).

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

1123223032100 is a wasteful number, since it uses less digits than its factorization.

1123223032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751845 (or 751838 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1123223032100 its reverse (12303223211), we get a palindrome (1135526255311).

The spelling of 1123223032100 in words is "one trillion, one hundred twenty-three billion, two hundred twenty-three million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1151 1300 2302 4604 5755 11510 14963 23020 28775 29926 57550 59852 74815 115100 149630 299260 374075 748150 750667 1496300 1501334 3002668 3753335 7506670 9758671 15013340 18766675 19517342 37533350 39034684 48793355 75066700 97586710 195173420 243966775 487933550 864017717 975867100 1728035434 3456070868 4320088585 8640177170 11232230321 17280354340 21600442925 22464460642 43200885850 44928921284 56161151605 86401771700 112322303210 224644606420 280805758025 561611516050 1123223032100