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153201213 = 34111391237
BaseRepresentation
bin10010010000110…
…10101000111101
3101200021102120000
421020122220331
5303204414323
623111344513
73540121524
oct1110325075
9350242500
10153201213
1179529380
1243382139
1325980009
14164bd4bb
15d6b2e43
hex921aa3d

153201213 has 40 divisors (see below), whose sum is σ = 251660640. Its totient is φ = 92106720.

The previous prime is 153201119. The next prime is 153201227. The reversal of 153201213 is 312102351.

It is not a de Polignac number, because 153201213 - 210 = 153200189 is a prime.

It is a super-2 number, since 2×1532012132 = 46941223329342738, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153201233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123231 + ... + 124467.

It is an arithmetic number, because the mean of its divisors is an integer number (6291516).

Almost surely, 2153201213 is an apocalyptic number.

It is an amenable number.

153201213 is a deficient number, since it is larger than the sum of its proper divisors (98459427).

153201213 is a wasteful number, since it uses less digits than its factorization.

153201213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 153201213 is about 12377.4477579184. The cubic root of 153201213 is about 535.0824841524.

Adding to 153201213 its reverse (312102351), we get a palindrome (465303564).

The spelling of 153201213 in words is "one hundred fifty-three million, two hundred one thousand, two hundred thirteen".

Divisors: 1 3 9 11 27 33 81 99 139 297 417 891 1237 1251 1529 3711 3753 4587 11133 11259 13607 13761 33399 40821 41283 100197 122463 123849 171943 367389 515829 1102167 1547487 1891373 4642461 5674119 13927383 17022357 51067071 153201213