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10212272433 = 3211317146867
BaseRepresentation
bin10011000001011001…
…01110100100110001
3222100201012012011100
421200230232210301
5131403320204213
64405204235013
7511032612006
oct114054564461
928321165140
1010212272433
11437061a480
121b9009ba69
13c6998076c
146cc41b8ad
153eb83d773
hex260b2e931

10212272433 has 48 divisors (see below), whose sum is σ = 16845484032. Its totient is φ = 5905116000.

The previous prime is 10212272429. The next prime is 10212272467. The reversal of 10212272433 is 33427221201.

10212272433 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 227 + 2 + 433 = 666.

It is not a de Polignac number, because 10212272433 - 22 = 10212272429 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10212272397 and 10212272406.

It is not an unprimeable number, because it can be changed into a prime (10212272033) 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, 194466 + ... + 241332.

It is an arithmetic number, because the mean of its divisors is an integer number (350947584).

Almost surely, 210212272433 is an apocalyptic number.

It is an amenable number.

10212272433 is a deficient number, since it is larger than the sum of its proper divisors (6633211599).

10212272433 is a wasteful number, since it uses less digits than its factorization.

10212272433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46986 (or 46983 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 10212272433 its reverse (33427221201), we get a palindrome (43639493634).

The spelling of 10212272433 in words is "ten billion, two hundred twelve million, two hundred seventy-two thousand, four hundred thirty-three".

Divisors: 1 3 9 11 31 33 71 93 99 213 279 341 639 781 1023 2201 2343 3069 6603 7029 19809 24211 46867 72633 140601 217899 421803 515537 1452877 1546611 3327557 4358631 4639833 9982671 13075893 15981647 29948013 36603127 47944941 103154267 109809381 143834823 309462801 329428143 928388403 1134696937 3404090811 10212272433