[go: up one dir, main page]

Search a number
-
+
122600142 = 2347731481
BaseRepresentation
bin1110100111010…
…11101011001110
322112200201210000
413103223223032
5222341201032
620055425130
73016040550
oct723535316
9275621700
10122600142
1163228335
12350851a6
131c527582
14123d54d0
15ab6ae7c
hex74ebace

122600142 has 80 divisors (see below), whose sum is σ = 318475872. Its totient is φ = 34525440.

The previous prime is 122600131. The next prime is 122600207. The reversal of 122600142 is 241006221.

122600142 is a `hidden beast` number, since 1 + 22 + 600 + 1 + 42 = 666.

It is a super-3 number, since 3×1226001423 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82042 + ... + 83522.

Almost surely, 2122600142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122600142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159237936).

122600142 is an abundant number, since it is smaller than the sum of its proper divisors (195875730).

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

122600142 is a wasteful number, since it uses less digits than its factorization.

122600142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122600142 is about 11072.4948408207. The cubic root of 122600142 is about 496.7794905067.

Adding to 122600142 its reverse (241006221), we get a palindrome (363606363).

The spelling of 122600142 in words is "one hundred twenty-two million, six hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 81 126 146 162 189 219 378 438 511 567 657 1022 1134 1314 1481 1533 1971 2962 3066 3942 4443 4599 5913 8886 9198 10367 11826 13329 13797 20734 26658 27594 31101 39987 41391 62202 79974 82782 93303 108113 119961 186606 216226 239922 279909 324339 559818 648678 756791 839727 973017 1513582 1679454 1946034 2270373 2919051 4540746 5838102 6811119 8757153 13622238 17514306 20433357 40866714 61300071 122600142