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23133412120 = 2357136355333
BaseRepresentation
bin10101100010110110…
…111101101100011000
32012201012121002121111
4111202312331230120
5334334123141440
614343301150104
71446160521130
oct254266755430
965635532544
1023133412120
1198a1231a15
1245973bb334
132248900a50
1411964d9ac0
15905db44ea
hex562dbdb18

23133412120 has 64 divisors (see below), whose sum is σ = 64061766720. Its totient is φ = 7321342464.

The previous prime is 23133412117. The next prime is 23133412139. The reversal of 23133412120 is 2121433132.

It is a junction number, because it is equal to n+sod(n) for n = 23133412091 and 23133412100.

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, 3174027 + ... + 3181306.

It is an arithmetic number, because the mean of its divisors is an integer number (1000965105).

Almost surely, 223133412120 is an apocalyptic number.

23133412120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23133412120 is an abundant number, since it is smaller than the sum of its proper divisors (40928354600).

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

23133412120 is a wasteful number, since it uses less digits than its factorization.

23133412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355364 (or 6355360 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 23133412120 its reverse (2121433132), we get a palindrome (25254845252).

The spelling of 23133412120 in words is "twenty-three billion, one hundred thirty-three million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 6355333 12710666 25421332 31776665 44487331 50842664 63553330 82619329 88974662 127106660 165238658 177949324 222436655 254213320 330477316 355898648 413096645 444873310 578335303 660954632 826193290 889746620 1156670606 1652386580 1779493240 2313341212 2891676515 3304773160 4626682424 5783353030 11566706060 23133412120