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23330213213100 = 22352593971135059
BaseRepresentation
bin1010100110111111111010…
…00100100011001110101100
310001121100100200011001121120
411103133331010203032230
511024220234040304400
6121341430232500540
74625360301205623
oct523377504431654
9101540320131546
1023330213213100
117485319161212
12274967524a750
131003050239b11
145a928cb626ba
152a6d1447bca0
hex1537fd1233ac

23330213213100 has 144 divisors (see below), whose sum is σ = 67686051565440. Its totient is φ = 6204456473600.

The previous prime is 23330213213017. The next prime is 23330213213101. The reversal of 23330213213100 is 131231203332.

It is a super-2 number, since 2×233302132131002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23330213213101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172673371 + ... + 172808429.

It is an arithmetic number, because the mean of its divisors is an integer number (470042024760).

Almost surely, 223330213213100 is an apocalyptic number.

23330213213100 is a gapful number since it is divisible by the number (20) 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 23330213213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33843025782720).

23330213213100 is an abundant number, since it is smaller than the sum of its proper divisors (44355838352340).

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

23330213213100 is a wasteful number, since it uses less digits than its factorization.

23330213213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136640 (or 136633 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 23330213213100 its reverse (131231203332), we get a palindrome (23461444416432).

The spelling of 23330213213100 in words is "twenty-three trillion, three hundred thirty billion, two hundred thirteen million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 593 971 1186 1779 1942 2372 2913 2965 3558 3884 4855 5826 5930 7116 8895 9710 11652 11860 14565 14825 17790 19420 24275 29130 29650 35580 44475 48550 58260 59300 72825 88950 97100 135059 145650 177900 270118 291300 405177 540236 575803 675295 810354 1151606 1350590 1620708 1727409 2025885 2303212 2701180 2879015 3376475 3454818 4051770 5758030 6752950 6909636 8103540 8637045 10129425 11516060 13505900 14395075 17274090 20258850 28790150 34548180 40517700 43185225 57580300 80089987 86370450 131142289 160179974 172740900 240269961 262284578 320359948 393426867 400449935 480539922 524569156 655711445 786853734 800899870 961079844 1201349805 1311422890 1573707468 1601799740 1967134335 2002249675 2402699610 2622845780 3278557225 3934268670 4004499350 4805399220 6006749025 6557114450 7868537340 8008998700 9835671675 12013498050 13114228900 19671343350 24026996100 39342686700 77767377377 155534754754 233302132131 311069509508 388836886885 466604264262 777673773770 933208528524 1166510660655 1555347547540 1944184434425 2333021321310 3888368868850 4666042642620 5832553303275 7776737737700 11665106606550 23330213213100