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30233100123300 = 22352319403345727
BaseRepresentation
bin1101101111111001100010…
…01100010111110010100100
310222001020220201200221001010
412313330301030113302210
512430314342112421200
6144144521111502220
76240161255632344
oct667746114276244
9128036821627033
1030233100123300
1196a6870931858
123483464087970
1313b3c7a1926a9
1476740b502d24
153766740e7150
hex1b7f31317ca4

30233100123300 has 144 divisors (see below), whose sum is σ = 90306056486912. Its totient is φ = 7801238044800.

The previous prime is 30233100123293. The next prime is 30233100123319. The reversal of 30233100123300 is 332100133203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87275037 + ... + 87620763.

Almost surely, 230233100123300 is an apocalyptic number.

30233100123300 is a gapful number since it is divisible by the number (30) 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 30233100123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45153028243456).

30233100123300 is an abundant number, since it is smaller than the sum of its proper divisors (60072956363612).

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

30233100123300 is a wasteful number, since it uses less digits than its factorization.

30233100123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355178 (or 355171 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 30233100123300 its reverse (332100133203), we get a palindrome (30565200256503).

The spelling of 30233100123300 in words is "thirty trillion, two hundred thirty-three billion, one hundred million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 9403 18806 28209 37612 47015 56418 94030 112836 141045 188060 235075 282090 291493 345727 470150 564180 582986 691454 705225 874479 940300 1037181 1165972 1382908 1410450 1457465 1728635 1748958 2074362 2820900 2914930 3457270 3497916 4148724 4372395 5185905 5829860 6914540 7287325 8643175 8744790 10371810 10717537 14574650 17286350 17489580 20743620 21435074 21861975 25929525 29149300 32152611 34572700 42870148 43723950 51859050 53587685 64305222 87447900 103718100 107175370 128610444 160763055 214350740 267938425 321526110 535876850 643052220 803815275 1071753700 1607630550 3215261100 3250870981 6501741962 9752612943 13003483924 16254354905 19505225886 32508709810 39010451772 48763064715 65017419620 81271774525 97526129430 100777000411 162543549050 195052258860 201554000822 243815323575 302331001233 325087098100 403108001644 487630647150 503885002055 604662002466 975261294300 1007770004110 1209324004932 1511655006165 2015540008220 2519425010275 3023310012330 5038850020550 6046620024660 7558275030825 10077700041100 15116550061650 30233100123300