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33013213220 = 22513891426673
BaseRepresentation
bin11110101111101111…
…011010100000100100
310011012202011222211202
4132233233122200210
51020102340310340
623055511422032
72246045453021
oct365757324044
9104182158752
1033013213220
1113001109799
126494084918
1331617248c0
1418526d0548
15cd342cc15
hex7afbda824

33013213220 has 48 divisors (see below), whose sum is σ = 75499588080. Its totient is φ = 12052525056.

The previous prime is 33013213193. The next prime is 33013213229. The reversal of 33013213220 is 2231231033.

It can be written as a sum of positive squares in 8 ways, for example, as 17320139236 + 15693073984 = 131606^2 + 125272^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33013213192 and 33013213201.

It is not an unprimeable number, because it can be changed into a prime (33013213229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690197 + ... + 736476.

It is an arithmetic number, because the mean of its divisors is an integer number (1572908085).

Almost surely, 233013213220 is an apocalyptic number.

It is an amenable number.

33013213220 is an abundant number, since it is smaller than the sum of its proper divisors (42486374860).

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

33013213220 is a wasteful number, since it uses less digits than its factorization.

33013213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426784 (or 1426782 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 33013213220 its reverse (2231231033), we get a palindrome (35244444253).

The spelling of 33013213220 in words is "thirty-three billion, thirteen million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 1157 1780 2314 4628 5785 11570 23140 1426673 2853346 5706692 7133365 14266730 18546749 28533460 37093498 74186996 92733745 126973897 185467490 253947794 370934980 507895588 634869485 1269738970 1650660661 2539477940 3301321322 6602642644 8253303305 16506606610 33013213220