Search a number
-
+
323233022222120 = 235194138926666663
BaseRepresentation
bin100100101111110101000110…
…1011110000001111100101000
31120101110202221002002202012002
41021133222031132001330220
5314331322212142101440
63103243111144510132
7125040546421130123
oct11137521536017450
91511422832082162
10323233022222120
1193aa039a41669a
123030488517b348
1310b48987a94bca
1459b67c16253ba
1527580754ba115
hex125fa8d781f28

323233022222120 has 128 divisors (see below), whose sum is σ = 786239921376000. Its totient is φ = 119193579141120.

The previous prime is 323233022222107. The next prime is 323233022222137. The reversal of 323233022222120 is 21222220332323.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1212092 + ... + 25454571.

It is an arithmetic number, because the mean of its divisors is an integer number (6142499385750).

Almost surely, 2323233022222120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323233022222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393119960688000).

323233022222120 is an abundant number, since it is smaller than the sum of its proper divisors (463006899153880).

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

323233022222120 is a wasteful number, since it uses less digits than its factorization.

323233022222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26667123 (or 26667119 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 323233022222120 its reverse (21222220332323), we get a palindrome (344455242554443).

The spelling of 323233022222120 in words is "three hundred twenty-three trillion, two hundred thirty-three billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 76 82 95 152 164 190 205 328 380 389 410 760 778 779 820 1556 1558 1640 1945 3112 3116 3890 3895 6232 7391 7780 7790 14782 15560 15580 15949 29564 31160 31898 36955 59128 63796 73910 79745 127592 147820 159490 295640 303031 318980 606062 637960 1212124 1515155 2424248 3030310 6060620 12121240 26666663 53333326 106666652 133333315 213333304 266666630 506666597 533333260 1013333194 1066666520 1093333183 2026666388 2186666366 2533332985 4053332776 4373332732 5066665970 5466665915 8746665464 10133331940 10373331907 10933331830 20266663880 20746663814 20773330477 21866663660 41493327628 41546660954 43733327320 51866659535 82986655256 83093321908 103733319070 103866652385 166186643816 197093306233 207466638140 207733304770 394186612466 414933276280 415466609540 425306608187 788373224932 830933219080 850613216374 985466531165 1576746449864 1701226432748 1970933062330 2126533040935 3402452865496 3941866124660 4253066081870 7883732249320 8080825555553 8506132163740 16161651111106 17012264327480 32323302222212 40404127777765 64646604444424 80808255555530 161616511111060 323233022222120