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1123223829312 = 263132193158771
BaseRepresentation
bin10000010110000101010…
…110110111101101000000
310222101020101210112102010
4100112011112313231000
5121400330300014222
62220000224452520
7144102351006504
oct20260526675500
93871211715363
101123223829312
113a33a1629762
1216183147a140
1381bc5345b00
143c5159bc304
151e33e77580c
hex105855b7b40

1123223829312 has 336 divisors, whose sum is σ = 3496755333120. Its totient is φ = 316850227200.

The previous prime is 1123223829289. The next prime is 1123223829353. The reversal of 1123223829312 is 2139283223211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19082487 + ... + 19141257.

It is an arithmetic number, because the mean of its divisors is an integer number (10407009920).

Almost surely, 21123223829312 is an apocalyptic number.

1123223829312 is a gapful number since it is divisible by the number (12) 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 1123223829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748377666560).

1123223829312 is an abundant number, since it is smaller than the sum of its proper divisors (2373531503808).

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

1123223829312 is a wasteful number, since it uses less digits than its factorization.

1123223829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58862 (or 58839 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The spelling of 1123223829312 in words is "one trillion, one hundred twenty-three billion, two hundred twenty-three million, eight hundred twenty-nine thousand, three hundred twelve".