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134324211132 = 223223935943487
BaseRepresentation
bin111110100011001011…
…0001100110110111100
3110211201021200221010200
41331012112030312330
54200043444224012
6141412510003500
712463451645616
oct1750626146674
9424637627120
10134324211132
1151a6a573a41
1222048aa6590
13c888a20147
1467038d5db6
1537627cb3dc
hex1f4658cdbc

134324211132 has 72 divisors (see below), whose sum is σ = 341920051200. Its totient is φ = 44462173728.

The previous prime is 134324211127. The next prime is 134324211157. The reversal of 134324211132 is 231112423431.

134324211132 is a `hidden beast` number, since 1 + 3 + 432 + 4 + 211 + 13 + 2 = 666.

It is a super-2 number, since 2×1343242111322 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 134324211096 and 134324211105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3067093 + ... + 3110579.

It is an arithmetic number, because the mean of its divisors is an integer number (4748889600).

Almost surely, 2134324211132 is an apocalyptic number.

134324211132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134324211132 is an abundant number, since it is smaller than the sum of its proper divisors (207595840068).

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

134324211132 is a wasteful number, since it uses less digits than its factorization.

134324211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44095 (or 44090 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 134324211132 its reverse (231112423431), we get a palindrome (365436634563).

The spelling of 134324211132 in words is "one hundred thirty-four billion, three hundred twenty-four million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 239 359 478 717 718 956 1077 1434 1436 2151 2154 2868 3231 4302 4308 6462 8604 12924 43487 85801 86974 130461 171602 173948 257403 260922 343204 391383 514806 521844 772209 782766 1029612 1544418 1565532 3088836 10393393 15611833 20786786 31180179 31223666 41573572 46835499 62360358 62447332 93540537 93670998 124720716 140506497 187081074 187341996 281012994 374162148 562025988 3731228087 7462456174 11193684261 14924912348 22387368522 33581052783 44774737044 67162105566 134324211132