Search a number
-
+
33212112013220 = 22572379131996649
BaseRepresentation
bin1111000110100110011000…
…01000111000011110100100
311100121001021012010202000212
413203103030020320132210
513323121401133410340
6154345233355154552
76665332045122230
oct743231410703644
9140531235122025
1033212112013220
11a6451a5436808
123884891145a58
13156bb726b163a
1482b690bbd5c0
153c8dcae8ba65
hex1e34cc2387a4

33212112013220 has 192 divisors, whose sum is σ = 84870567936000. Its totient is φ = 10671947320320.

The previous prime is 33212112013217. The next prime is 33212112013277. The reversal of 33212112013220 is 2231021121233.

It is a super-2 number, since 2×332121120132202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32825456 + ... + 33822104.

It is an arithmetic number, because the mean of its divisors is an integer number (442034208000).

Almost surely, 233212112013220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33212112013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42435283968000).

33212112013220 is an abundant number, since it is smaller than the sum of its proper divisors (51658455922780).

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

33212112013220 is a wasteful number, since it uses less digits than its factorization.

33212112013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996898 (or 996896 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 33212112013220 its reverse (2231021121233), we get a palindrome (35443133134453).

The spelling of 33212112013220 in words is "thirty-three trillion, two hundred twelve billion, one hundred twelve million, thirteen thousand, two hundred twenty".