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34131330420 = 223511103502079
BaseRepresentation
bin11111110010011000…
…101100010101110100
310021002200010020021220
4133302120230111310
51024400110033140
623402452510340
72315543343645
oct376230542564
9107080106256
1034131330420
11135252787a0
12674661b3b0
1332ac279a05
14191adc76cc
15d4b691bd0
hex7f262c574

34131330420 has 96 divisors (see below), whose sum is σ = 105268101120. Its totient is φ = 8193912960.

The previous prime is 34131330407. The next prime is 34131330433. The reversal of 34131330420 is 2403313143.

It is an interprime number because it is at equal distance from previous prime (34131330407) and next prime (34131330433).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183060 + ... + 319019.

It is an arithmetic number, because the mean of its divisors is an integer number (1096542720).

Almost surely, 234131330420 is an apocalyptic number.

34131330420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34131330420 is an abundant number, since it is smaller than the sum of its proper divisors (71136770700).

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

34131330420 is a wasteful number, since it uses less digits than its factorization.

34131330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502205 (or 502203 counting only the distinct ones).

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

Adding to 34131330420 its reverse (2403313143), we get a palindrome (36534643563).

The spelling of 34131330420 in words is "thirty-four billion, one hundred thirty-one million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 103 110 132 165 206 220 309 330 412 515 618 660 1030 1133 1236 1545 2060 2266 3090 3399 4532 5665 6180 6798 11330 13596 16995 22660 33990 67980 502079 1004158 1506237 2008316 2510395 3012474 5020790 5522869 6024948 7531185 10041580 11045738 15062370 16568607 22091476 27614345 30124740 33137214 51714137 55228690 66274428 82843035 103428274 110457380 155142411 165686070 206856548 258570685 310284822 331372140 517141370 568855507 620569644 775712055 1034282740 1137711014 1551424110 1706566521 2275422028 2844277535 3102848220 3413133042 5688555070 6826266084 8532832605 11377110140 17065665210 34131330420