Search a number
-
+
122143032 = 23331151407
BaseRepresentation
bin1110100011111…
…00000100111000
322111211111202000
413101330010320
5222232034112
620041541000
73012125064
oct721740470
9274744660
10122143032
1162a45960
1234aa4760
131c3c74ab
1412316aa4
15aaca7dc
hex747c138

122143032 has 64 divisors (see below), whose sum is σ = 370137600. Its totient is φ = 37012320.

The previous prime is 122143019. The next prime is 122143051. The reversal of 122143032 is 230341221.

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 = 122142996 and 122143014.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23328 + ... + 28079.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2122143032 is an apocalyptic number.

122143032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122143032 is an abundant number, since it is smaller than the sum of its proper divisors (247994568).

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

122143032 is a wasteful number, since it uses less digits than its factorization.

122143032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51433 (or 51423 counting only the distinct ones).

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

The square root of 122143032 is about 11051.8338749730. The cubic root of 122143032 is about 496.1613137288.

Adding to 122143032 its reverse (230341221), we get a palindrome (352484253).

It can be divided in two parts, 1221 and 43032, that added together give a triangular number (44253 = T297).

The spelling of 122143032 in words is "one hundred twenty-two million, one hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 51407 102814 154221 205628 308442 411256 462663 565477 616884 925326 1130954 1233768 1387989 1696431 1850652 2261908 2775978 3392862 3701304 4523816 5089293 5551956 6785724 10178586 11103912 13571448 15267879 20357172 30535758 40714344 61071516 122143032