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233003020120 = 235131307342833
BaseRepresentation
bin1101100100000000001…
…1111110111101011000
3211021102101021211000221
43121000003332331120
512304142233120440
6255012355205424
722556013664363
oct3310003767530
9737371254027
10233003020120
118a8a8148742
12391a82a6874
1318c838b5350
14b3c52bb0da
1560daa3bd4a
hex36400fef58

233003020120 has 64 divisors (see below), whose sum is σ = 565017858720. Its totient is φ = 85965809664.

The previous prime is 233003020099. The next prime is 233003020163. The reversal of 233003020120 is 21020300332.

233003020120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2330030201202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233003020094 and 233003020103.

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 15 ways as a sum of consecutive naturals, for example, 508224 + ... + 851056.

Almost surely, 2233003020120 is an apocalyptic number.

233003020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233003020120 is an abundant number, since it is smaller than the sum of its proper divisors (332014838600).

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

233003020120 is a wasteful number, since it uses less digits than its factorization.

233003020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344164 (or 344160 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 233003020120 its reverse (21020300332), we get a palindrome (254023320452).

The spelling of 233003020120 in words is "two hundred thirty-three billion, three million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1307 2614 5228 6535 10456 13070 16991 26140 33982 52280 67964 84955 135928 169910 339820 342833 679640 685666 1371332 1714165 2742664 3428330 4456829 6856660 8913658 13713320 17827316 22284145 35654632 44568290 89136580 178273160 448082731 896165462 1792330924 2240413655 3584661848 4480827310 5825075503 8961654620 11650151006 17923309240 23300302012 29125377515 46600604024 58250755030 116501510060 233003020120