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1330132312002 = 231337991465077
BaseRepresentation
bin10011010110110010000…
…100000101111111000010
311201011022012121111112210
4103112302010011333002
5133243102332441002
62455015423402550
7165045630050454
oct23266204057702
94634265544483
101330132312002
1147311901718a
12195956753456
139857aa07460
14485433d62d4
15248ee48796c
hex135b2105fc2

1330132312002 has 64 divisors (see below), whose sum is σ = 2945305488384. Its totient is φ = 397807407360.

The previous prime is 1330132311971. The next prime is 1330132312027. The reversal of 1330132312002 is 2002132310331.

It is a self number, because there is not a number n which added to its sum of digits gives 1330132312002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2627488 + ... + 3092564.

It is an arithmetic number, because the mean of its divisors is an integer number (46020398256).

Almost surely, 21330132312002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330132312002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472652744192).

1330132312002 is an abundant number, since it is smaller than the sum of its proper divisors (1615173176382).

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

1330132312002 is a wasteful number, since it uses less digits than its factorization.

1330132312002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466123.

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

Adding to 1330132312002 its reverse (2002132310331), we get a palindrome (3332264622333).

The spelling of 1330132312002 in words is "one trillion, three hundred thirty billion, one hundred thirty-two million, three hundred twelve thousand, two".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 481 962 991 1443 1982 2886 2973 5946 12883 25766 36667 38649 73334 77298 110001 220002 465077 476671 930154 953342 1395231 1430013 2790462 2860026 6046001 12092002 17207849 18138003 34415698 36276006 51623547 103247094 223702037 447404074 460891307 671106111 921782614 1342212222 1382673921 2765347842 5991586991 11983173982 17052978359 17974760973 34105956718 35949521946 51158935077 102317870154 221688718667 443377437334 665066156001 1330132312002