Search a number
-
+
1233410432124 = 223132292150769
BaseRepresentation
bin10001111100101100111…
…111011001110001111100
311100220122111022220201110
4101330230333121301330
5130202011032311444
62342342042042020
7155053026455463
oct21745477316174
94326574286643
101233410432124
114360a5041272
1217b0627a9310
138c4053b9080
14439a98979da
152213ce2ccb9
hex11f2cfd9c7c

1233410432124 has 72 divisors (see below), whose sum is σ = 3112953014640. Its totient is φ = 377851143168.

The previous prime is 1233410432101. The next prime is 1233410432129. The reversal of 1233410432124 is 4212340143321.

It is a super-2 number, since 2×12334104321242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1233410432091 and 1233410432100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233410432129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8105412 + ... + 8256180.

Almost surely, 21233410432124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1233410432124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556476507320).

1233410432124 is an abundant number, since it is smaller than the sum of its proper divisors (1879542582516).

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

1233410432124 is a wasteful number, since it uses less digits than its factorization.

1233410432124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151247 (or 151016 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1233410432124 its reverse (4212340143321), we get a palindrome (5445750575445).

The spelling of 1233410432124 in words is "one trillion, two hundred thirty-three billion, four hundred ten million, four hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 229 458 687 916 1374 2748 2977 5954 8931 11908 17862 35724 52441 104882 150769 157323 209764 301538 314646 452307 603076 629292 681733 904614 1363466 1809228 1959997 2045199 2726932 3919994 4090398 5879991 7839988 8180796 11759982 23519964 34526101 69052202 103578303 138104404 207156606 414313212 448839313 897678626 1346517939 1795357252 2693035878 5386071756 7906477129 15812954258 23719431387 31625908516 47438862774 94877725548 102784202677 205568405354 308352608031 411136810708 616705216062 1233410432124