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1330331020004 = 2271671657171697
BaseRepresentation
bin10011010110111101111…
…010000110101011100100
311201011211001111220200102
4103112331322012223210
5133244004220120004
62455051242403232
7165053562044210
oct23267572065344
94634731456612
101330331020004
114732101a7478
121959b1200518
13985acc2b65c
144856195d940
1524911b3911e
hex135bde86ae4

1330331020004 has 48 divisors (see below), whose sum is σ = 2678225071872. Its totient is φ = 566382523392.

The previous prime is 1330331019973. The next prime is 1330331020103. The reversal of 1330331020004 is 4000201330331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7662284 + ... + 7833980.

It is an arithmetic number, because the mean of its divisors is an integer number (55796355664).

Almost surely, 21330331020004 is an apocalyptic number.

1330331020004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1330331020004 is an abundant number, since it is smaller than the sum of its proper divisors (1347894051868).

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

1330331020004 is a wasteful number, since it uses less digits than its factorization.

1330331020004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173532 (or 173530 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1330331020004 its reverse (4000201330331), we get a palindrome (5330532350335).

The spelling of 1330331020004 in words is "one trillion, three hundred thirty billion, three hundred thirty-one million, twenty thousand, four".

Divisors: 1 2 4 7 14 28 167 334 668 1169 1657 2338 3314 4676 6628 11599 23198 46396 171697 276719 343394 553438 686788 1106876 1201879 1937033 2403758 3874066 4807516 7748132 28673399 57346798 114693596 200713793 284501929 401427586 569003858 802855172 1138007716 1991513503 3983027006 7966054012 47511822143 95023644286 190047288572 332582755001 665165510002 1330331020004