Search a number
-
+
1332003112032 = 25323661991141
BaseRepresentation
bin10011011000100001100…
…100101000010001100000
311201100010120211222201210
4103120201210220101200
5133310420244041112
62455525213230120
7165143164433115
oct23304144502140
94640116758653
101332003112032
11473999038a0a
12196199192340
13987b8486218
144867da5c90c
15249ad828b3c
hex13621928460

1332003112032 has 96 divisors (see below), whose sum is σ = 3649121521920. Its totient is φ = 424627822080.

The previous prime is 1332003112007. The next prime is 1332003112039. The reversal of 1332003112032 is 2302113002331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332003112039) 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, 14569182 + ... + 14660322.

It is an arithmetic number, because the mean of its divisors is an integer number (38011682520).

Almost surely, 21332003112032 is an apocalyptic number.

1332003112032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1332003112032 is an abundant number, since it is smaller than the sum of its proper divisors (2317118409888).

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

1332003112032 is a wasteful number, since it uses less digits than its factorization.

1332003112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97796 (or 97788 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1332003112032 its reverse (2302113002331), we get a palindrome (3634116114363).

The spelling of 1332003112032 in words is "one trillion, three hundred thirty-two billion, three million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 6619 13238 19857 26476 39714 52952 79428 91141 105904 152237 158856 182282 211808 273423 304474 317712 364564 456711 546846 608948 635424 729128 913422 1093692 1217896 1458256 1826844 2096243 2187384 2435792 2916512 3653688 4192486 4374768 4871584 6288729 7307376 8384972 8749536 12577458 14614752 16769944 25154916 33539888 50309832 67079776 100619664 201239328 603262279 1206524558 1809786837 2413049116 3619573674 4826098232 7239147348 9652196464 13875032417 14478294696 19304392928 27750064834 28956589392 41625097251 55500129668 57913178784 83250194502 111000259336 166500389004 222000518672 333000778008 444001037344 666001556016 1332003112032