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132010001312 = 25722711092341
BaseRepresentation
bin111101011110001101…
…0001100001110100000
3110121202000002220001212
41322330122030032200
54130324030020222
6140351120245252
712352221332330
oct1727432141640
9417660086055
10132010001312
1150a92227942
1221701a70828
13c5aa441217
1465644090c0
15367954e6e2
hex1ebc68c3a0

132010001312 has 96 divisors (see below), whose sum is σ = 298727533440. Its totient is φ = 56251653120.

The previous prime is 132010001297. The next prime is 132010001317. The reversal of 132010001312 is 213100010231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (132010001317) 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, 56389262 + ... + 56391602.

It is an arithmetic number, because the mean of its divisors is an integer number (3111745140).

Almost surely, 2132010001312 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 132010001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149363766720).

132010001312 is an abundant number, since it is smaller than the sum of its proper divisors (166717532128).

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

132010001312 is a wasteful number, since it uses less digits than its factorization.

132010001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 132010001312 its reverse (213100010231), we get a palindrome (345110011543).

The spelling of 132010001312 in words is "one hundred thirty-two billion, ten million, one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 227 454 908 1109 1589 1816 2218 2341 3178 3632 4436 4682 6356 7264 7763 8872 9364 12712 15526 16387 17744 18728 25424 31052 32774 35488 37456 50848 62104 65548 74912 124208 131096 248416 251743 262192 503486 524384 531407 1006972 1062814 1762201 2013944 2125628 2596169 3524402 3719849 4027888 4251256 5192338 7048804 7439698 8055776 8502512 10384676 14097608 14879396 17005024 18173183 20769352 28195216 29758792 36346366 41538704 56390432 59517584 72692732 83077408 119035168 145385464 290770928 581541856 589330363 1178660726 2357321452 4125312541 4714642904 8250625082 9429285808 16501250164 18858571616 33002500328 66005000656 132010001312