Search a number
-
+
12023000032 = 251729898563
BaseRepresentation
bin10110011001010000…
…00110101111100000
31011000220101200110111
423030220012233200
5144110342000112
65305010341104
7603640546141
oct131450065740
934026350414
1012023000032
11510a74096a
1223b658a794
131197b58604
14820ac7ac8
154a57b55a7
hex2cca06be0

12023000032 has 96 divisors (see below), whose sum is σ = 26221255200. Its totient is φ = 5400772608.

The previous prime is 12023000009. The next prime is 12023000081. The reversal of 12023000032 is 23000032021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12022999976 and 12023000021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1399783 + ... + 1408345.

It is an arithmetic number, because the mean of its divisors is an integer number (273138075).

Almost surely, 212023000032 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 12023000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13110627600).

12023000032 is an abundant number, since it is smaller than the sum of its proper divisors (14198255168).

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

12023000032 is a wasteful number, since it uses less digits than its factorization.

12023000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8708 (or 8700 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 12023000032 its reverse (23000032021), we get a palindrome (35023032053).

The spelling of 12023000032 in words is "twelve billion, twenty-three million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 4 8 16 17 29 32 34 58 68 89 116 136 178 232 272 356 464 493 544 712 928 986 1424 1513 1972 2581 2848 3026 3944 5162 6052 7888 8563 10324 12104 15776 17126 20648 24208 34252 41296 43877 48416 68504 82592 87754 137008 145571 175508 248327 274016 291142 351016 496654 582284 702032 762107 993308 1164568 1404064 1524214 1986616 2329136 3048428 3973232 4221559 4658272 6096856 7946464 8443118 12193712 12955819 16886236 22101103 24387424 25911638 33772472 44202206 51823276 67544944 88404412 103646552 135089888 176808824 207293104 353617648 375718751 414586208 707235296 751437502 1502875004 3005750008 6011500016 12023000032