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233302134012 = 22323273503453
BaseRepresentation
bin1101100101000111100…
…1000000110011111100
3211022012020010101011020
43121101321000303330
512310300321242022
6255102202224140
722566305263503
oct3312171006374
9738166111136
10233302134012
118aa40a77402
12392704b5050
1319000862a0c
14b412cdd83a
156106e2335c
hex3651e40cfc

233302134012 has 72 divisors (see below), whose sum is σ = 576865648464. Its totient is φ = 73367053056.

The previous prime is 233302133947. The next prime is 233302134097. The reversal of 233302134012 is 210431203332.

233302134012 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 2×2333021340122 (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 211678 + ... + 715130.

Almost surely, 2233302134012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233302134012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288432824232).

233302134012 is an abundant number, since it is smaller than the sum of its proper divisors (343563514452).

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

233302134012 is a wasteful number, since it uses less digits than its factorization.

233302134012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503579 (or 503554 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 233302134012 its reverse (210431203332), we get a palindrome (443733337344).

The spelling of 233302134012 in words is "two hundred thirty-three billion, three hundred two million, one hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 138 146 219 276 292 438 529 876 1058 1587 1679 2116 3174 3358 5037 6348 6716 10074 20148 38617 77234 115851 154468 231702 463404 503453 1006906 1510359 2013812 3020718 6041436 11579419 23158838 34738257 36752069 46317676 69476514 73504138 110256207 138953028 147008276 220512414 266326637 441024828 532653274 798979911 845297587 1065306548 1597959822 1690595174 2535892761 3195919644 3381190348 5071785522 10143571044 19441844501 38883689002 58325533503 77767378004 116651067006 233302134012