Search a number
-
+
34131323220 = 22352931163073
BaseRepresentation
bin11111110010011000…
…101010100101010100
310021002200002212102020
4133302120222211110
51024400104320340
623402452413140
72315543313651
oct376230524524
9107080085366
1034131323220
1113525273345
1267466171b0
1332ac276657
14191adc4c28
15d4b68e9d0
hex7f262a954

34131323220 has 96 divisors (see below), whose sum is σ = 99182603520. Its totient is φ = 8759439360.

The previous prime is 34131323209. The next prime is 34131323231. The reversal of 34131323220 is 2232313143.

It is an interprime number because it is at equal distance from previous prime (34131323209) and next prime (34131323231).

It is a super-2 number, since 2×341313232202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 509604 + ... + 572676.

It is an arithmetic number, because the mean of its divisors is an integer number (1033152120).

Almost surely, 234131323220 is an apocalyptic number.

34131323220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34131323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49591301760).

34131323220 is an abundant number, since it is smaller than the sum of its proper divisors (65051280300).

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

34131323220 is a wasteful number, since it uses less digits than its factorization.

34131323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63425 (or 63423 counting only the distinct ones).

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

Adding to 34131323220 its reverse (2232313143), we get a palindrome (36363636363).

The spelling of 34131323220 in words is "thirty-four billion, one hundred thirty-one million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 311 348 435 580 622 870 933 1244 1555 1740 1866 3110 3732 4665 6220 9019 9330 18038 18660 27057 36076 45095 54114 63073 90190 108228 126146 135285 180380 189219 252292 270570 315365 378438 541140 630730 756876 946095 1261460 1829117 1892190 3658234 3784380 5487351 7316468 9145585 10974702 18291170 19615703 21949404 27436755 36582340 39231406 54873510 58847109 78462812 98078515 109747020 117694218 196157030 235388436 294235545 392314060 568855387 588471090 1137710774 1176942180 1706566161 2275421548 2844276935 3413132322 5688553870 6826264644 8532830805 11377107740 17065661610 34131323220