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23232212120 = 23513412714021
BaseRepresentation
bin10101101000101111…
…110110110010011000
32012222002111122201202
4111220233312302120
5340034421241440
614401150533332
71451500354565
oct255057666230
965862448652
1023232212120
119941a83907
124604507248
1322632142a0
1411a569786c
1590e8cd615
hex568bf6c98

23232212120 has 128 divisors (see below), whose sum is σ = 57893633280. Its totient is φ = 8335872000.

The previous prime is 23232212111. The next prime is 23232212131. The reversal of 23232212120 is 2121223232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23232212092 and 23232212101.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5775710 + ... + 5779730.

It is an arithmetic number, because the mean of its divisors is an integer number (452294010).

Almost surely, 223232212120 is an apocalyptic number.

23232212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23232212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28946816640).

23232212120 is an abundant number, since it is smaller than the sum of its proper divisors (34661421160).

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

23232212120 is a wasteful number, since it uses less digits than its factorization.

23232212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23232212120 its reverse (2121223232), we get a palindrome (25353435352).

It can be divided in two parts, 232322 and 12120, that added together give a palindrome (244442).

The spelling of 23232212120 in words is "twenty-three billion, two hundred thirty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 271 328 410 520 533 542 820 1066 1084 1355 1640 2132 2168 2665 2710 3523 4021 4264 5330 5420 7046 8042 10660 10840 11111 14092 16084 17615 20105 21320 22222 28184 32168 35230 40210 44444 52273 55555 70460 80420 88888 104546 111110 140920 144443 160840 164861 209092 222220 261365 288886 329722 418184 444440 522730 577772 659444 722215 824305 1045460 1089691 1155544 1318888 1444430 1648610 2090920 2143193 2179382 2888860 3297220 4286386 4358764 5448455 5777720 6594440 8572772 8717528 10715965 10896910 14165983 17145544 21431930 21793820 28331966 42863860 43587640 44677331 56663932 70829915 85727720 89354662 113327864 141659830 178709324 223386655 283319660 357418648 446773310 566639320 580805303 893546620 1161610606 1787093240 2323221212 2904026515 4646442424 5808053030 11616106060 23232212120