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10123132344 = 2331332445937
BaseRepresentation
bin10010110110110001…
…01011110110111000
3222010111110101221120
421123120223312320
5131213010213334
64352301505240
7505601130243
oct113330536670
928114411846
1010123132344
114325276186
121b66272220
13c54370050
146c065625a
153e3ad1949
hex25b62bdb8

10123132344 has 32 divisors (see below), whose sum is σ = 27254587920. Its totient is φ = 3114809856.

The previous prime is 10123132343. The next prime is 10123132387. The reversal of 10123132344 is 44323132101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123132343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16222657 + ... + 16223280.

Almost surely, 210123132344 is an apocalyptic number.

It is an amenable number.

10123132344 is an abundant number, since it is smaller than the sum of its proper divisors (17131455576).

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

10123132344 is a wasteful number, since it uses less digits than its factorization.

10123132344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32445959 (or 32445955 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10123132344 its reverse (44323132101), we get a palindrome (54446264445).

The spelling of 10123132344 in words is "ten billion, one hundred twenty-three million, one hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 32445937 64891874 97337811 129783748 194675622 259567496 389351244 421797181 778702488 843594362 1265391543 1687188724 2530783086 3374377448 5061566172 10123132344