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1323231322230 = 233513752368399
BaseRepresentation
bin10011010000010110101…
…110111010000001110110
311200111111021011220021000
4103100112232322001312
5133134434204302410
62451514543304130
7164412622441656
oct23202656720166
94614437156230
101323231322230
114701a7648454
1219454b5ab046
1397a1b08965c
144808aa90366
15246486c9dc0
hex13416bba076

1323231322230 has 128 divisors (see below), whose sum is σ = 3561221376000. Its totient is φ = 349611178752.

The previous prime is 1323231322157. The next prime is 1323231322247. The reversal of 1323231322230 is 322231323231.

1323231322230 is a `hidden beast` number, since 1 + 323 + 2 + 313 + 2 + 2 + 23 + 0 = 666.

It is a super-2 number, since 2×13232313222302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1323231322194 and 1323231322203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19311571 + ... + 19379969.

It is an arithmetic number, because the mean of its divisors is an integer number (27822042000).

Almost surely, 21323231322230 is an apocalyptic number.

1323231322230 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 1323231322230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780610688000).

1323231322230 is an abundant number, since it is smaller than the sum of its proper divisors (2237990053770).

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

1323231322230 is a wasteful number, since it uses less digits than its factorization.

1323231322230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69075 (or 69069 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1323231322230 its reverse (322231323231), we get a palindrome (1645462645461).

It can be divided in two parts, 1323231 and 322230, that added together give a palindrome (1645461).

The spelling of 1323231322230 in words is "one trillion, three hundred twenty-three billion, two hundred thirty-one million, three hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 137 270 274 411 523 685 822 1046 1233 1370 1569 2055 2466 2615 3138 3699 4110 4707 5230 6165 7398 7845 9414 12330 14121 15690 18495 23535 28242 36990 47070 68399 70605 71651 136798 141210 143302 205197 214953 341995 358255 410394 429906 615591 644859 683990 716510 1025985 1074765 1231182 1289718 1846773 1934577 2051970 2149530 3077955 3224295 3693546 3869154 6155910 6448590 9233865 9370663 9672885 18467730 18741326 19345770 28111989 35772677 46853315 56223978 71545354 84335967 93706630 107318031 140559945 168671934 178863385 214636062 253007901 281119890 321954093 357726770 421679835 506015802 536590155 643908186 843359670 965862279 1073180310 1265039505 1609770465 1931724558 2530079010 3219540930 4829311395 4900856749 9658622790 9801713498 14702570247 24504283745 29405140494 44107710741 49008567490 73512851235 88215421482 132323132223 147025702470 220538553705 264646264446 441077107410 661615661115 1323231322230