Search a number
-
+
123800157 = 3413891321
BaseRepresentation
bin1110110000100…
…00101001011101
322121221200220000
413120100221131
5223143101112
620141244513
73032166255
oct730205135
9277850800
10123800157
1163977988
1235563739
131c857840
1412628965
15ad067dc
hex7610a5d

123800157 has 40 divisors (see below), whose sum is σ = 201552120. Its totient is φ = 75271680.

The previous prime is 123800153. The next prime is 123800161. The reversal of 123800157 is 751008321.

It is an interprime number because it is at equal distance from previous prime (123800153) and next prime (123800161).

It can be written as a sum of positive squares in 4 ways, for example, as 9865881 + 113934276 = 3141^2 + 10674^2 .

It is not a de Polignac number, because 123800157 - 22 = 123800153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 123800157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123800153) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 93057 + ... + 94377.

It is an arithmetic number, because the mean of its divisors is an integer number (5038803).

Almost surely, 2123800157 is an apocalyptic number.

It is an amenable number.

123800157 is a deficient number, since it is larger than the sum of its proper divisors (77751963).

123800157 is a wasteful number, since it uses less digits than its factorization.

123800157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 123800157 is about 11126.5518917587. The cubic root of 123800157 is about 498.3950632011.

Adding to 123800157 its reverse (751008321), we get a palindrome (874808478).

The spelling of 123800157 in words is "one hundred twenty-three million, eight hundred thousand, one hundred fifty-seven".

Divisors: 1 3 9 13 27 39 81 89 117 267 351 801 1053 1157 1321 2403 3471 3963 7209 10413 11889 17173 31239 35667 51519 93717 107001 117569 154557 352707 463671 1058121 1391013 1528397 3174363 4585191 9523089 13755573 41266719 123800157