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34234121130 = 23511137375557
BaseRepresentation
bin11111111000100000…
…110011101110101010
310021100211112112122020
4133320200303232222
51030102413334010
623421004005310
72321232141216
oct377040635652
9107324475566
1034234121130
11135782a59a0
126774b30836
1332c7659811
14192a903946
15d556e8470
hex7f8833baa

34234121130 has 64 divisors (see below), whose sum is σ = 89697621888. Its totient is φ = 8293026560.

The previous prime is 34234121123. The next prime is 34234121137. The reversal of 34234121130 is 3112143243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34234121123) and next prime (34234121137).

It is a self number, because there is not a number n which added to its sum of digits gives 34234121130.

It is not an unprimeable number, because it can be changed into a prime (34234121137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415312 + ... + 490868.

It is an arithmetic number, because the mean of its divisors is an integer number (1401525342).

Almost surely, 234234121130 is an apocalyptic number.

34234121130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34234121130 is an abundant number, since it is smaller than the sum of its proper divisors (55463500758).

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

34234121130 is a wasteful number, since it uses less digits than its factorization.

34234121130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76951.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34234121130 its reverse (3112143243), we get a palindrome (37346264373).

The spelling of 34234121130 in words is "thirty-four billion, two hundred thirty-four million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 1373 2746 4119 6865 8238 13730 15103 20595 30206 41190 45309 75515 75557 90618 151030 151114 226545 226671 377785 453090 453342 755570 831127 1133355 1662254 2266710 2493381 4155635 4986762 8311270 12466905 24933810 103739761 207479522 311219283 518698805 622438566 1037397610 1141137371 1556096415 2282274742 3112192830 3423412113 5705686855 6846824226 11411373710 17117060565 34234121130