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1121222034 = 233192813889
BaseRepresentation
bin100001011010100…
…0111110110010010
32220010202222111000
41002311013312102
54244013101114
6303131402430
736533141622
oct10265076622
92803688430
101121222034
1152599a789
122735b3416
1314b3a13ba
14a8ca4882
1568678e09
hex42d47d92

1121222034 has 64 divisors (see below), whose sum is σ = 2632752000. Its totient is φ = 352719360.

The previous prime is 1121221999. The next prime is 1121222051. The reversal of 1121222034 is 4302221211.

It is a happy number.

It is a super-3 number, since 3×11212220343 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1121221998 and 1121222016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286362 + ... + 290250.

It is an arithmetic number, because the mean of its divisors is an integer number (41136750).

Almost surely, 21121222034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121222034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316376000).

1121222034 is an abundant number, since it is smaller than the sum of its proper divisors (1511529966).

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

1121222034 is a wasteful number, since it uses less digits than its factorization.

1121222034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1121222034 is about 33484.6537088261. The cubic root of 1121222034 is about 1038.8763857219.

Adding to 1121222034 its reverse (4302221211), we get a palindrome (5423443245).

The spelling of 1121222034 in words is "one billion, one hundred twenty-one million, two hundred twenty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 281 342 513 562 843 1026 1686 2529 3889 5058 5339 7587 7778 10678 11667 15174 16017 23334 32034 35001 48051 70002 73891 96102 105003 144153 147782 210006 221673 288306 443346 665019 1092809 1330038 1995057 2185618 3278427 3990114 6556854 9835281 19670562 20763371 29505843 41526742 59011686 62290113 124580226 186870339 373740678 560611017 1121222034