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133120422 = 2341961709
BaseRepresentation
bin1111110111101…
…00000110100110
3100021111012220000
413323310012212
5233034323142
621113122130
73204335121
oct773640646
9307435800
10133120422
1169163386
12386b9346
132176bba6
14139733b8
15ba4814c
hex7ef41a6

133120422 has 80 divisors (see below), whose sum is σ = 319585200. Its totient is φ = 41290560.

The previous prime is 133120409. The next prime is 133120423. The reversal of 133120422 is 224021331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133120395 and 133120404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133120423) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187404 + ... + 188112.

It is an arithmetic number, because the mean of its divisors is an integer number (3994815).

Almost surely, 2133120422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133120422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159792600).

133120422 is an abundant number, since it is smaller than the sum of its proper divisors (186464778).

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

133120422 is a wasteful number, since it uses less digits than its factorization.

133120422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 133120422 is about 11537.7823692424. The cubic root of 133120422 is about 510.6008834549.

Adding to 133120422 its reverse (224021331), we get a palindrome (357141753).

Subtracting 133120422 from its reverse (224021331), we obtain a palindrome (90900909).

The spelling of 133120422 in words is "one hundred thirty-three million, one hundred twenty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 61 81 114 122 162 171 183 342 366 513 549 709 1026 1098 1159 1418 1539 1647 2127 2318 3078 3294 3477 4254 4941 6381 6954 9882 10431 12762 13471 19143 20862 26942 31293 38286 40413 43249 57429 62586 80826 86498 93879 114858 121239 129747 187758 242478 259494 363717 389241 727434 778482 821731 1091151 1167723 1643462 2182302 2335446 2465193 3503169 4930386 7006338 7395579 14791158 22186737 44373474 66560211 133120422