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1222032442100 = 225217809888557
BaseRepresentation
bin10001110010000110110…
…011110100001011110100
311022211021112122010122112
4101302012303310023310
5130010210301121400
62333221032150152
7154201050241061
oct21620663641364
94284245563575
101222032442100
11431296500a28
12178a08238358
138b3110883b2
144320a711c68
1521bc40c6835
hex11c86cf42f4

1222032442100 has 72 divisors (see below), whose sum is σ = 2811273113880. Its totient is φ = 459490078720.

The previous prime is 1222032442093. The next prime is 1222032442123. The reversal of 1222032442100 is 12442302221.

It can be written as a sum of positive squares in 12 ways, for example, as 336404640016 + 885627802084 = 580004^2 + 941078^2 .

It is a congruent number.

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, 931022 + ... + 1819578.

It is an arithmetic number, because the mean of its divisors is an integer number (39045459915).

Almost surely, 21222032442100 is an apocalyptic number.

1222032442100 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 1222032442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405636556940).

1222032442100 is an abundant number, since it is smaller than the sum of its proper divisors (1589240671780).

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

1222032442100 is a wasteful number, since it uses less digits than its factorization.

1222032442100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889397 (or 889390 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1222032442100 its reverse (12442302221), we get a palindrome (1234474744321).

The spelling of 1222032442100 in words is "one trillion, two hundred twenty-two billion, thirty-two million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 809 850 1618 1700 3236 4045 8090 13753 16180 20225 27506 40450 55012 68765 80900 137530 275060 343825 687650 888557 1375300 1777114 3554228 4442785 8885570 15105469 17771140 22213925 30210938 44427850 60421876 75527345 88855700 151054690 302109380 377636725 718842613 755273450 1437685226 1510546900 2875370452 3594213065 7188426130 12220324421 14376852260 17971065325 24440648842 35942130650 48881297684 61101622105 71884261300 122203244210 244406488420 305508110525 611016221050 1222032442100