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32013300030 = 23523832292441
BaseRepresentation
bin11101110100001001…
…000011000100111110
310001122001200010210220
4131310021003010332
51011030401100110
622412352042210
72212214363145
oct356411030476
9101561603726
1032013300030
1112638745158
126255233366
1330325180aa
1417999a675c
15c75767370
hex77424313e

32013300030 has 128 divisors (see below), whose sum is σ = 81526072320. Its totient is φ = 8028810240.

The previous prime is 32013300019. The next prime is 32013300031. The reversal of 32013300030 is 3000331023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32013299982 and 32013300009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32013300031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13113610 + ... + 13116050.

It is an arithmetic number, because the mean of its divisors is an integer number (636922440).

Almost surely, 232013300030 is an apocalyptic number.

32013300030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32013300030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40763036160).

32013300030 is an abundant number, since it is smaller than the sum of its proper divisors (49512772290).

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

32013300030 is a wasteful number, since it uses less digits than its factorization.

32013300030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786.

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 32013300030 its reverse (3000331023), we get a palindrome (35013631053).

The spelling of 32013300030 in words is "thirty-two billion, thirteen million, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 83 115 138 166 229 230 249 345 415 458 498 687 690 830 1145 1245 1374 1909 2290 2441 2490 3435 3818 4882 5267 5727 6870 7323 9545 10534 11454 12205 14646 15801 19007 19090 24410 26335 28635 31602 36615 38014 52670 56143 57021 57270 73230 79005 95035 112286 114042 158010 168429 190070 202603 280715 285105 336858 405206 437161 558989 561430 570210 607809 842145 874322 1013015 1117978 1215618 1311483 1676967 1684290 2026030 2185805 2622966 2794945 3039045 3353934 4371610 4659869 5589890 6078090 6557415 8384835 9319738 12856747 13114830 13979607 16769670 23299345 25713494 27959214 38570241 46396087 46598690 64283735 69898035 77140482 92792174 128567470 139188261 139796070 192851205 231980435 278376522 385702410 463960870 695941305 1067110001 1391882610 2134220002 3201330003 5335550005 6402660006 10671100010 16006650015 32013300030