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321323212112232 = 233116761732942843
BaseRepresentation
bin100100100001111011110001…
…1111010101000000101101000
31120010201012101010110000121110
41021003313203322220011220
5314104024414300042412
63055221502410110320
7124452556512055101
oct11103674372500550
91503635333400543
10321323212112232
11934244553a4180
123005671171b3a0
1310a3a8587aa525
14594c1aad833a8
15272354a377d3c
hex1243de3ea8168

321323212112232 has 128 divisors (see below), whose sum is σ = 889560059189760. Its totient is φ = 95901805950720.

The previous prime is 321323212112191. The next prime is 321323212112263. The reversal of 321323212112232 is 232211212323123.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 321323212112232.

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 31 ways as a sum of consecutive naturals, for example, 107716603 + ... + 110659445.

It is an arithmetic number, because the mean of its divisors is an integer number (6949687962420).

Almost surely, 2321323212112232 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 321323212112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444780029594880).

321323212112232 is an abundant number, since it is smaller than the sum of its proper divisors (568236847077528).

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

321323212112232 is a wasteful number, since it uses less digits than its factorization.

321323212112232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949103 (or 2949099 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 321323212112232 its reverse (232211212323123), we get a palindrome (553534424435355).

The spelling of 321323212112232 in words is "three hundred twenty-one trillion, three hundred twenty-three billion, two hundred twelve million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2948 4422 5896 6173 8844 12346 17688 18519 24692 37038 49384 67903 74076 135806 148152 203709 271612 407418 413591 543224 814836 827182 1240773 1629672 1654364 2481546 2942843 3308728 4549501 4963092 5885686 8828529 9099002 9926184 11771372 13648503 17657058 18198004 23542744 27297006 32371273 35314116 36396008 54594012 64742546 70628232 97113819 109188024 129485092 194227638 197170481 258970184 388455276 394340962 591511443 776910552 788681924 1183022886 1577363848 2168875291 2366045772 4337750582 4732091544 6506625873 8675501164 13013251746 17351002328 18166169839 26026503492 36332339678 52053006984 54498509517 72664679356 108997019034 145329358712 199827868229 217994038068 399655736458 435988076136 599483604687 799311472916 1198967209374 1217133379213 1598622945832 2397934418748 2434266758426 3651400137639 4795868837496 4868533516852 7302800275278 9737067033704 13388467171343 14605600550556 26776934342686 29211201101112 40165401514029 53553868685372 80330803028058 107107737370744 160661606056116 321323212112232