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122312330 = 2572472113
BaseRepresentation
bin1110100101001…
…01011010001010
322112011002222022
413102211122022
5222302443310
620045324442
73013431500
oct722453212
9275132868
10122312330
1163051078
1234b66722
131c45657a
141235c670
15ab10a55
hex74a568a

122312330 has 72 divisors (see below), whose sum is σ = 263987748. Its totient is φ = 40680192.

The previous prime is 122312299. The next prime is 122312341. The reversal of 122312330 is 33213221.

It can be written as a sum of positive squares in 2 ways, for example, as 104019601 + 18292729 = 10199^2 + 4277^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122312299 and 122312308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1082354 + ... + 1082466.

Almost surely, 2122312330 is an apocalyptic number.

122312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122312330 is an abundant number, since it is smaller than the sum of its proper divisors (141675418).

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

122312330 is a wasteful number, since it uses less digits than its factorization.

122312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 122312330 is about 11059.4904945933. The cubic root of 122312330 is about 496.3904449290.

Adding to 122312330 its reverse (33213221), we get a palindrome (155525551).

The spelling of 122312330 in words is "one hundred twenty-two million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 47 49 70 94 98 113 226 235 245 329 470 490 565 658 791 1130 1582 1645 2209 2303 3290 3955 4418 4606 5311 5537 7910 10622 11045 11074 11515 15463 22090 23030 26555 27685 30926 37177 53110 55370 74354 77315 108241 154630 185885 216482 249617 260239 371770 499234 520478 541205 1082410 1248085 1301195 1747319 2496170 2602390 3494638 8736595 12231233 17473190 24462466 61156165 122312330