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122134134330 = 232513104388149
BaseRepresentation
bin111000110111111000…
…0101111111000111010
3102200020201220212102200
41301233300233320322
54000112314244310
6132035130211030
711552412004245
oct1615760577072
9380221825380
10122134134330
11478845978aa
121b806583a76
13b695396c50
145ca895a25c
15329c5119c0
hex1c6fc2fe3a

122134134330 has 48 divisors (see below), whose sum is σ = 341975579400. Its totient is φ = 30063786624.

The previous prime is 122134134293. The next prime is 122134134371. The reversal of 122134134330 is 33431431221.

It is a happy number.

122134134330 is a `hidden beast` number, since 1 + 2 + 213 + 4 + 13 + 433 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108624953889 + 13509180441 = 329583^2 + 116229^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122134134294 and 122134134303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52192905 + ... + 52195244.

Almost surely, 2122134134330 is an apocalyptic number.

122134134330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122134134330 is an abundant number, since it is smaller than the sum of its proper divisors (219841445070).

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

122134134330 is a wasteful number, since it uses less digits than its factorization.

122134134330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104388175 (or 104388172 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122134134330 its reverse (33431431221), we get a palindrome (155565565551).

The spelling of 122134134330 in words is "one hundred twenty-two billion, one hundred thirty-four million, one hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 104388149 208776298 313164447 521940745 626328894 939493341 1043881490 1357045937 1565822235 1878986682 2714091874 3131644470 4071137811 4697466705 6785229685 8142275622 9394933410 12213413433 13570459370 20355689055 24426826866 40711378110 61067067165 122134134330