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33220000121 = 7111922814253
BaseRepresentation
bin11110111100000100…
…001111100101111001
310011202011021212010212
4132330010033211321
51021013310000441
623132215520505
72254136225210
oct367404174571
9104664255125
1033220000121
11130a7907860
126531389135
133195517109
141871d5c077
15ce6677eeb
hex7bc10f979

33220000121 has 48 divisors (see below), whose sum is σ = 43877593728. Its totient is φ = 24430291200.

The previous prime is 33220000103. The next prime is 33220000127. The reversal of 33220000121 is 12100002233.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-33220000121 is a prime.

It is a super-2 number, since 2×332200001212 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33220000096 and 33220000105.

It is not an unprimeable number, because it can be changed into a prime (33220000127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7808831 + ... + 7813083.

It is an arithmetic number, because the mean of its divisors is an integer number (914116536).

Almost surely, 233220000121 is an apocalyptic number.

It is an amenable number.

33220000121 is a deficient number, since it is larger than the sum of its proper divisors (10657593607).

33220000121 is a wasteful number, since it uses less digits than its factorization.

33220000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 33220000121 its reverse (12100002233), we get a palindrome (45320002354).

The spelling of 33220000121 in words is "thirty-three billion, two hundred twenty million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 7 11 19 77 133 209 281 361 1463 1967 2527 3091 3971 4253 5339 21637 27797 29771 37373 46783 58729 80807 101441 327481 411103 565649 710087 888877 1115851 1195093 1535333 6222139 7810957 8365651 10747331 13146023 16888663 22706767 92022161 118220641 158947369 249774437 431428573 1748421059 3020000011 4745714303 33220000121