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201387138012 = 223217261317323
BaseRepresentation
bin1011101110001110011…
…0111101101111011100
3201020211000102121010100
42323203212331233130
511244420101404022
6232303241141100
720356363300104
oct2734346755734
9636730377110
10201387138012
1178453875555
123304418a790
1315cb58164b8
149a66406204
15538a1281ac
hex2ee39bdbdc

201387138012 has 108 divisors (see below), whose sum is σ = 549634996456. Its totient is φ = 62144340480.

The previous prime is 201387137999. The next prime is 201387138023. The reversal of 201387138012 is 210831783102.

201387138012 is a `hidden beast` number, since 201 + 3 + 8 + 71 + 380 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 475983 + ... + 793305.

Almost surely, 2201387138012 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 201387138012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274817498228).

201387138012 is an abundant number, since it is smaller than the sum of its proper divisors (348247858444).

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

201387138012 is a wasteful number, since it uses less digits than its factorization.

201387138012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317428 (or 317406 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 201387138012 in words is "two hundred one billion, three hundred eighty-seven million, one hundred thirty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 289 306 366 549 578 612 732 867 1037 1098 1156 1734 2074 2196 2601 3111 3468 4148 5202 6222 9333 10404 12444 17629 18666 35258 37332 52887 70516 105774 158661 211548 317322 317323 634644 634646 951969 1269292 1903938 2855907 3807876 5394491 5711814 10788982 11423628 16183473 19356703 21577964 32366946 38713406 48550419 58070109 64733892 77426812 91706347 97100838 116140218 174210327 183412694 194201676 232280436 275119041 329063951 348420654 366825388 550238082 658127902 696841308 825357123 987191853 1100476164 1316255804 1650714246 1974383706 2961575559 3301428492 3948767412 5594087167 5923151118 11188174334 11846302236 16782261501 22376348668 33564523002 50346784503 67129046004 100693569006 201387138012