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133013196 = 223247127619
BaseRepresentation
bin1111110110110…
…01111011001100
3100021021202210200
413323121323030
5233022410241
621110533500
73203410401
oct773317314
9307252720
10133013196
116909a868
1238667290
1321732144
14139462a8
15ba264b6
hex7ed9ecc

133013196 has 72 divisors (see below), whose sum is σ = 346644480. Its totient is φ = 42983136.

The previous prime is 133013191. The next prime is 133013197. The reversal of 133013196 is 691310331.

It is not an unprimeable number, because it can be changed into a prime (133013191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214575 + ... + 215193.

Almost surely, 2133013196 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 133013196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173322240).

133013196 is an abundant number, since it is smaller than the sum of its proper divisors (213631284).

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

133013196 is a wasteful number, since it uses less digits than its factorization.

133013196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 133013196 is about 11533.1346996383. The cubic root of 133013196 is about 510.4637534888.

The spelling of 133013196 in words is "one hundred thirty-three million, thirteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 127 141 188 254 282 381 423 508 564 619 762 846 1143 1238 1524 1692 1857 2286 2476 3714 4572 5571 5969 7428 11142 11938 17907 22284 23876 29093 35814 53721 58186 71628 78613 87279 107442 116372 157226 174558 214884 235839 261837 314452 349116 471678 523674 707517 943356 1047348 1415034 2830068 3694811 7389622 11084433 14779244 22168866 33253299 44337732 66506598 133013196