Search a number
-
+
12304100023340 = 22523103721136013
BaseRepresentation
bin1011001100001100010110…
…0000101101110000101100
31121120021000212220220012212
42303003011200231300230
53103042244101221330
642100231524545552
72406641032401566
oct263030540556054
947507025826185
1012304100023340
113a14159772344
12146874a2522b8
136b336ba911b8
14307743470336
151650d0511295
hexb30c582dc2c

12304100023340 has 96 divisors (see below), whose sum is σ = 27228326501376. Its totient is φ = 4661174327040.

The previous prime is 12304100023333. The next prime is 12304100023343. The reversal of 12304100023340 is 4332000140321.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (12304100023343) 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 31 ways as a sum of consecutive naturals, for example, 341639174 + ... + 341675186.

It is an arithmetic number, because the mean of its divisors is an integer number (283628401056).

Almost surely, 212304100023340 is an apocalyptic number.

12304100023340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12304100023340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13614163250688).

12304100023340 is an abundant number, since it is smaller than the sum of its proper divisors (14924226478036).

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

12304100023340 is a wasteful number, since it uses less digits than its factorization.

12304100023340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43359 (or 43357 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12304100023340 its reverse (4332000140321), we get a palindrome (16636100163661).

The spelling of 12304100023340 in words is "twelve trillion, three hundred four billion, one hundred million, twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 103 115 206 230 412 460 515 1030 2060 2369 4738 7211 9476 11845 14422 23690 28844 36013 36055 47380 72026 72110 144052 144220 165853 180065 331706 360130 663412 720260 742733 828299 829265 1485466 1656598 1658530 2970932 3313196 3317060 3709339 3713665 4141495 7418678 7427330 8282990 14837356 14854660 16565980 17082859 18546695 34165718 37093390 68331436 74186780 85314797 85414295 170629594 170828590 259689743 341259188 341657180 426573985 519379486 853147970 1038758972 1298448715 1706295940 2596897430 5193794860 5972864089 11945728178 23891456356 26748043529 29864320445 53496087058 59728640890 106992174116 119457281780 133740217645 267480435290 534960870580 615205001167 1230410002334 2460820004668 3076025005835 6152050011670 12304100023340