Search a number
-
+
123002033 = 71171149151
BaseRepresentation
bin1110101010011…
…01110010110001
322120110011001212
413111031302301
5222442031113
620112205505
73022333340
oct725156261
9276404055
10123002033
1163482280
1235239895
131c63848b
141249bb57
15abea0a8
hex754dcb1

123002033 has 32 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 93240000.

The previous prime is 123001997. The next prime is 123002039. The reversal of 123002033 is 330200321.

It is not a de Polignac number, because 123002033 - 212 = 122997937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123001999 and 123002017.

It is not an unprimeable number, because it can be changed into a prime (123002039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814508 + ... + 814658.

It is an arithmetic number, because the mean of its divisors is an integer number (4924800).

Almost surely, 2123002033 is an apocalyptic number.

It is an amenable number.

123002033 is a deficient number, since it is larger than the sum of its proper divisors (34591567).

123002033 is a wasteful number, since it uses less digits than its factorization.

123002033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389.

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 123002033 is about 11090.6281607491. The cubic root of 123002033 is about 497.3217232833.

Adding to 123002033 its reverse (330200321), we get a palindrome (453202354).

The spelling of 123002033 in words is "one hundred twenty-three million, two thousand, thirty-three".

Divisors: 1 7 11 71 77 149 151 497 781 1043 1057 1639 1661 5467 10579 10721 11473 11627 22499 74053 75047 116369 117931 157493 247489 814583 825517 1597429 1732423 11182003 17571719 123002033