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1222431134100 = 22352113718715351
BaseRepresentation
bin10001110010011110100…
…100101101000110010100
311022212022022211210020220
4101302132210231012110
5130012014332242400
62333324353354340
7154213661124321
oct21623644550624
94285268753226
101222431134100
11431480563150
12178ab98689b0
138b37585c517
1443247655b48
1521be90cc7a0
hex11c9e92d194

1222431134100 has 288 divisors, whose sum is σ = 3965578186752. Its totient is φ = 288129600000.

The previous prime is 1222431134053. The next prime is 1222431134147. The reversal of 1222431134100 is 14311342221.

It is an interprime number because it is at equal distance from previous prime (1222431134053) and next prime (1222431134147).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228446425 + ... + 228451775.

It is an arithmetic number, because the mean of its divisors is an integer number (13769368704).

Almost surely, 21222431134100 is an apocalyptic number.

1222431134100 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 1222431134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982789093376).

1222431134100 is an abundant number, since it is smaller than the sum of its proper divisors (2743147052652).

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

1222431134100 is a wasteful number, since it uses less digits than its factorization.

1222431134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7287 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1222431134100 its reverse (14311342221), we get a palindrome (1236742476321).

It can be divided in two parts, 1222431 and 134100, that added together give a palindrome (1356531).

The spelling of 1222431134100 in words is "one trillion, two hundred twenty-two billion, four hundred thirty-one million, one hundred thirty-four thousand, one hundred".