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12333031020 = 22325234676379
BaseRepresentation
bin10110111110001101…
…10001111001101100
31011211111202220000200
423133012301321230
5200224223443040
65355443353500
7614424014442
oct133706617154
934744686020
1012333031020
115259746822
122482382890
1312171590bb
1484dd4cb92
154c2b06630
hex2df1b1e6c

12333031020 has 144 divisors (see below), whose sum is σ = 39126447360. Its totient is φ = 3138588288.

The previous prime is 12333031019. The next prime is 12333031027. The reversal of 12333031020 is 2013033321.

12333031020 is a `hidden beast` number, since 1 + 2 + 3 + 330 + 310 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12333030984 and 12333031002.

It is not an unprimeable number, because it can be changed into a prime (12333031027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1930191 + ... + 1936569.

It is an arithmetic number, because the mean of its divisors is an integer number (271711440).

Almost surely, 212333031020 is an apocalyptic number.

12333031020 is a gapful number since it is divisible by the number (10) 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 12333031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19563223680).

12333031020 is an abundant number, since it is smaller than the sum of its proper divisors (26793416340).

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

12333031020 is a wasteful number, since it uses less digits than its factorization.

12333031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12333031020 its reverse (2013033321), we get a palindrome (14346064341).

The spelling of 12333031020 in words is "twelve billion, three hundred thirty-three million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 467 690 828 934 1035 1380 1401 1868 2070 2335 2802 4140 4203 4670 5604 6379 7005 8406 9340 10741 12758 14010 16812 19137 21015 21482 25516 28020 31895 32223 38274 42030 42964 53705 57411 63790 64446 76548 84060 95685 96669 107410 114822 127580 128892 146717 161115 191370 193338 214820 229644 287055 293434 322230 382740 386676 440151 483345 574110 586868 644460 733585 880302 966690 1148220 1320453 1467170 1760604 1933380 2200755 2640906 2934340 2978993 4401510 5281812 5957986 6602265 8803020 8936979 11915972 13204530 14894965 17873958 26409060 26810937 29789930 35747916 44684895 53621874 59579860 68516839 89369790 107243748 134054685 137033678 178739580 205550517 268109370 274067356 342584195 411101034 536218740 616651551 685168390 822202068 1027752585 1233303102 1370336780 2055505170 2466606204 3083257755 4111010340 6166515510 12333031020