Search a number
-
+
33123422130 = 23529233163403
BaseRepresentation
bin11110110110010011…
…110100111110110010
310011111102120012001020
4132312103310332302
51020314044002010
623114445520310
72251554304551
oct366623647662
9104442505036
1033123422130
1113058343337
126504b73096
13317b501086
1418631bbd98
15cdce4c470
hex7b64f4fb2

33123422130 has 64 divisors (see below), whose sum is σ = 82590917760. Its totient is φ = 8491675136.

The previous prime is 33123422117. The next prime is 33123422141. The reversal of 33123422130 is 3122432133.

It is a super-2 number, since 2×331234221302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33123422130.

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, 121009 + ... + 284411.

It is an arithmetic number, because the mean of its divisors is an integer number (1290483090).

Almost surely, 233123422130 is an apocalyptic number.

33123422130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33123422130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41295458880).

33123422130 is an abundant number, since it is smaller than the sum of its proper divisors (49467495630).

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

33123422130 is a wasteful number, since it uses less digits than its factorization.

33123422130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163675.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 33123422130 its reverse (3122432133), we get a palindrome (36245854263).

The spelling of 33123422130 in words is "thirty-three billion, one hundred twenty-three million, four hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 233 290 435 466 699 870 1165 1398 2330 3495 6757 6990 13514 20271 33785 40542 67570 101355 163403 202710 326806 490209 817015 980418 1634030 2451045 4738687 4902090 9477374 14216061 23693435 28432122 38072899 47386870 71080305 76145798 114218697 142160610 190364495 228437394 380728990 571093485 1104114071 1142186970 2208228142 3312342213 5520570355 6624684426 11041140710 16561711065 33123422130