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113223111330 = 23573137470059
BaseRepresentation
bin110100101110010011…
…1111001001010100010
3101211020201020222220210
41221130213321022202
53323340104030310
6124003004114550
711115526365330
oct1513447711242
9354221228823
10113223111330
114402154938a
1219b3a235a56
13a8a519b084
1456a12a6b50
152e2a05d820
hex1a5c9f92a2

113223111330 has 128 divisors (see below), whose sum is σ = 329237544960. Its totient is φ = 24367806720.

The previous prime is 113223111311. The next prime is 113223111373. The reversal of 113223111330 is 33111322311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 113223111297 and 113223111306.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5841 + ... + 475899.

It is an arithmetic number, because the mean of its divisors is an integer number (2572168320).

Almost surely, 2113223111330 is an apocalyptic number.

113223111330 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 113223111330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164618772480).

113223111330 is an abundant number, since it is smaller than the sum of its proper divisors (216014433630).

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

113223111330 is a wasteful number, since it uses less digits than its factorization.

113223111330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470144.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 113223111330 its reverse (33111322311), we get a palindrome (146334433641).

The spelling of 113223111330 in words is "one hundred thirteen billion, two hundred twenty-three million, one hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 37 42 62 70 74 93 105 111 155 185 186 210 217 222 259 310 370 434 465 518 555 651 777 930 1085 1110 1147 1295 1302 1554 2170 2294 2590 3255 3441 3885 5735 6510 6882 7770 8029 11470 16058 17205 24087 34410 40145 48174 80290 120435 240870 470059 940118 1410177 2350295 2820354 3290413 4700590 6580826 7050885 9871239 14101770 14571829 16452065 17392183 19742478 29143658 32904130 34784366 43715487 49356195 52176549 72859145 86960915 87430974 98712390 102002803 104353098 121745281 145718290 173921830 204005606 218577435 243490562 260882745 306008409 365235843 437154870 510014015 521765490 539157673 608726405 612016818 730471686 1020028030 1078315346 1217452810 1530042045 1617473019 1826179215 2695788365 3060084090 3234946038 3652358430 3774103711 5391576730 7548207422 8087365095 11322311133 16174730190 18870518555 22644622266 37741037110 56611555665 113223111330