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103323013342230 = 235116131006150767
BaseRepresentation
bin10111011111100011000011…
…100000011110010000010110
3111112211120202110011202011110
4113133203003200132100112
5102020321012403422410
61003425534223115450
730522561406411143
oct2737430340362026
9445746673152143
10103323013342230
112aa16053451850
12b708838142b86
13458641a5557c6
141b72c0940d3ca
15be2a06c6a720
hex5df8c381e416

103323013342230 has 128 divisors (see below), whose sum is σ = 270992006977536. Its totient is φ = 25004163801600.

The previous prime is 103323013342193. The next prime is 103323013342253. The reversal of 103323013342230 is 32243310323301.

It is a super-2 number, since 2×1033230133422302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2035214307 + ... + 2035265073.

It is an arithmetic number, because the mean of its divisors is an integer number (2117125054512).

Almost surely, 2103323013342230 is an apocalyptic number.

103323013342230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103323013342230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135496003488768).

103323013342230 is an abundant number, since it is smaller than the sum of its proper divisors (167668993635306).

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

103323013342230 is a wasteful number, since it uses less digits than its factorization.

103323013342230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61462.

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 103323013342230 its reverse (32243310323301), we get a palindrome (135566323665531).

The spelling of 103323013342230 in words is "one hundred three trillion, three hundred twenty-three billion, thirteen million, three hundred forty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 613 1226 1839 3065 3678 6130 6743 9195 10061 13486 18390 20122 20229 30183 33715 40458 50305 50767 60366 67430 100610 101145 101534 110671 150915 152301 202290 221342 253835 301830 304602 332013 507670 553355 558437 664026 761505 1106710 1116874 1523010 1660065 1675311 2792185 3320130 3350622 5584370 6167393 8376555 12334786 16753110 18502179 30836965 31120171 37004358 61673930 62240342 67841323 92510895 93360513 135682646 155600855 185021790 186721026 203523969 311201710 339206615 342321881 407047938 466802565 510766787 678413230 684643762 933605130 1017619845 1021533574 1026965643 1532300361 1711609405 2035239690 2053931286 2553833935 3064600722 3423218810 5107667870 5134828215 5618434657 7661501805 10269656430 11236869314 15323003610 16855303971 28092173285 33710607942 56184346570 84276519855 168553039710 313100040431 626200080862 939300121293 1565500202155 1878600242586 3131000404310 3444100444741 4696500606465 6888200889482 9393001212930 10332301334223 17220502223705 20664602668446 34441004447410 51661506671115 103323013342230