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231212322033 = 37211316945121
BaseRepresentation
bin1101011101010101010…
…1000000110011110001
3211002210120202221001120
43113111111000303301
512242010323301113
6254114550252453
722463441211300
oct3272525006361
9732716687046
10231212322033
118a069367770
1238988657129
1318a59901194
14b295546437
15603371ea23
hex35d5540cf1

231212322033 has 48 divisors (see below), whose sum is σ = 391348520640. Its totient is φ = 120069734400.

The previous prime is 231212322023. The next prime is 231212322043. The reversal of 231212322033 is 330223212132.

231212322033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231212322023) and next prime (231212322043).

It is a de Polignac number, because none of the positive numbers 2k-231212322033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 231212321994 and 231212322012.

It is not an unprimeable number, because it can be changed into a prime (231212322023) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5101713 + ... + 5146833.

It is an arithmetic number, because the mean of its divisors is an integer number (8153094180).

Almost surely, 2231212322033 is an apocalyptic number.

It is an amenable number.

231212322033 is a deficient number, since it is larger than the sum of its proper divisors (160136198607).

231212322033 is a wasteful number, since it uses less digits than its factorization.

231212322033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48318 (or 48311 counting only the distinct ones).

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

Adding to 231212322033 its reverse (330223212132), we get a palindrome (561435534165).

The spelling of 231212322033 in words is "two hundred thirty-one billion, two hundred twelve million, three hundred twenty-two thousand, thirty-three".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 3169 9507 22183 34859 45121 66549 104577 135363 155281 244013 315847 465843 496331 732039 947541 1488993 1708091 2210929 3474317 5124273 6632787 10422951 24320219 72960657 142988449 428965347 1000919143 1572872939 3002757429 4718618817 7006434001 11010110573 21019302003 33030331719 77070774011 231212322033