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133001112272 = 24737163196901
BaseRepresentation
bin111101111011101111…
…0111110101011010000
3110201022002001112201012
41323313132332223100
54134341241043042
6141033323230052
712415614541550
oct1736736765320
9421262045635
10133001112272
115145072a206
1221939978328
13c707888402
146619cc1160
1536d6576e82
hex1ef77bead0

133001112272 has 80 divisors (see below), whose sum is σ = 304319129472. Its totient is φ = 55119398400.

The previous prime is 133001112271. The next prime is 133001112301. The reversal of 133001112272 is 272211100331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133001112271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577022 + ... + 773922.

Almost surely, 2133001112272 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 133001112272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152159564736).

133001112272 is an abundant number, since it is smaller than the sum of its proper divisors (171318017200).

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

133001112272 is a wasteful number, since it uses less digits than its factorization.

133001112272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197116 (or 197110 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The spelling of 133001112272 in words is "one hundred thirty-three billion, one million, one hundred twelve thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 163 259 296 326 518 592 652 1036 1141 1304 2072 2282 2608 4144 4564 6031 9128 12062 18256 24124 42217 48248 84434 96496 168868 196901 337736 393802 675472 787604 1378307 1575208 2756614 3150416 5513228 7285337 11026456 14570674 22052912 29141348 32094863 50997359 58282696 64189726 101994718 116565392 128379452 203989436 224664041 256758904 407978872 449328082 513517808 815957744 898656164 1187509931 1797312328 2375019862 3594624656 4750039724 8312569517 9500079448 16625139034 19000158896 33250278068 66500556136 133001112272