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103232223234 = 23272241485657
BaseRepresentation
bin110000000100100011…
…1101011100000000010
3100212110102122021222100
41200021013223200002
53142404422120414
6115231344451230
710313122263600
oct1401107534002
9325412567870
10103232223234
113a864998278
1218010319b16
13997235117a
144dd4436870
152a42da0609
hex18091eb802

103232223234 has 72 divisors (see below), whose sum is σ = 261267491628. Its totient is φ = 29372474880.

The previous prime is 103232223229. The next prime is 103232223239. The reversal of 103232223234 is 432322232301.

103232223234 is a `hidden beast` number, since 10 + 3 + 2 + 322 + 2 + 323 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (103232223229) and next prime (103232223239).

It can be written as a sum of positive squares in 2 ways, for example, as 97998424209 + 5233799025 = 313047^2 + 72345^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103232223198 and 103232223207.

It is not an unprimeable number, because it can be changed into a prime (103232223239) 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 35 ways as a sum of consecutive naturals, for example, 30267 + ... + 455390.

Almost surely, 2103232223234 is an apocalyptic number.

103232223234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103232223234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130633745814).

103232223234 is an abundant number, since it is smaller than the sum of its proper divisors (158035268394).

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

103232223234 is a wasteful number, since it uses less digits than its factorization.

103232223234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485920 (or 485910 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 103232223234 its reverse (432322232301), we get a palindrome (535554455535).

The spelling of 103232223234 in words is "one hundred three billion, two hundred thirty-two million, two hundred twenty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 241 294 441 482 723 882 1446 1687 2169 3374 4338 5061 10122 11809 15183 23618 30366 35427 70854 106281 212562 485657 971314 1456971 2913942 3399599 4370913 6799198 8741826 10198797 20397594 23797193 30596391 47594386 61192782 71391579 117043337 142783158 214174737 234086674 351130011 428349474 702260022 819303359 1053390033 1638606718 2106780066 2457910077 4915820154 5735123513 7373730231 11470247026 14747460462 17205370539 34410741078 51616111617 103232223234