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132201013272 = 23344988713831
BaseRepresentation
bin111101100011111001…
…0110110000000011000
3110122020022112022012220
41323013302312000120
54131221424411042
6140422102304040
712360031033446
oct1730762660030
9418208468186
10132201013272
1151080030a69
1221755a28020
13c60ab9c453
14658192bb96
15368b1d08ec
hex1ec7cb6018

132201013272 has 64 divisors (see below), whose sum is σ = 331636032000. Its totient is φ = 43916113920.

The previous prime is 132201013271. The next prime is 132201013309. The reversal of 132201013272 is 272310102231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132201013271) 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, 9551397 + ... + 9565227.

It is an arithmetic number, because the mean of its divisors is an integer number (5181813000).

Almost surely, 2132201013272 is an apocalyptic number.

132201013272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132201013272 is an abundant number, since it is smaller than the sum of its proper divisors (199435018728).

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

132201013272 is a wasteful number, since it uses less digits than its factorization.

132201013272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15176 (or 15172 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 132201013272 in words is "one hundred thirty-two billion, two hundred one million, thirteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 449 887 898 1347 1774 1796 2661 2694 3548 3592 5322 5388 7096 10644 10776 13831 21288 27662 41493 55324 82986 110648 165972 331944 398263 796526 1194789 1593052 2389578 3186104 4779156 6210119 9558312 12268097 12420238 18630357 24536194 24840476 36804291 37260714 49072388 49680952 73608582 74521428 98144776 147217164 149042856 294434328 5508375553 11016751106 16525126659 22033502212 33050253318 44067004424 66100506636 132201013272