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332231010103220 = 225431572861860051
BaseRepresentation
bin100101110001010011000111…
…1010101110010111110110100
31121120022222022022202100022012
41023202212033111302332310
5322021233102041300340
63134332452524423352
7126656620100150504
oct11342461725627664
91546288268670265
10332231010103220
119694a41aa60038
12313187190a7b58
131134c332b263a7
145c080d0db9a04
1528621571dd565
hex12e298f572fb4

332231010103220 has 96 divisors (see below), whose sum is σ = 718709513106816. Its totient is φ = 128929889088000.

The previous prime is 332231010103169. The next prime is 332231010103241. The reversal of 332231010103220 is 22301010132233.

It is a super-2 number, since 2×3322310101032202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 385862195 + ... + 386722245.

It is an arithmetic number, because the mean of its divisors is an integer number (7486557428196).

Almost surely, 2332231010103220 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 332231010103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359354756553408).

332231010103220 is an abundant number, since it is smaller than the sum of its proper divisors (386478503003596).

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

332231010103220 is a wasteful number, since it uses less digits than its factorization.

332231010103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863121 (or 863119 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 332231010103220 its reverse (22301010132233), we get a palindrome (354532020235453).

The spelling of 332231010103220 in words is "three hundred thirty-two trillion, two hundred thirty-one billion, ten million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 157 172 215 314 430 628 785 860 1570 2861 3140 5722 6751 11444 13502 14305 27004 28610 33755 57220 67510 123023 135020 246046 449177 492092 615115 860051 898354 1230230 1720102 1796708 2245885 2460460 3440204 4300255 4491770 8600510 8983540 17201020 19314611 36982193 38629222 73964386 77258444 96573055 135028007 147928772 184910965 193146110 270056014 369821930 386292220 540112028 675140035 739643860 1350280070 2460605911 2700560140 4921211822 5806204301 9842423644 11612408602 12303029555 23224817204 24606059110 29031021505 49212118220 58062043010 105806054173 116124086020 211612108346 386315128027 423224216692 529030270865 772630256054 1058060541730 1545260512108 1931575640135 2116121083460 3863151280270 7726302560540 16611550505161 33223101010322 66446202020644 83057752525805 166115505051610 332231010103220