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130213310004 = 223231691141381
BaseRepresentation
bin111100101000101010…
…0010110111000110100
3110110002210022111221100
41321101110112320310
54113134101410004
6135452535050100
712256543605261
oct1712124267064
9413083274840
10130213310004
1150250023098
12212a0210930
13c38213c17b
146433954268
1535c194b739
hex1e51516e34

130213310004 has 36 divisors (see below), whose sum is σ = 329254465540. Its totient is φ = 43390702080.

The previous prime is 130213309999. The next prime is 130213310027. The reversal of 130213310004 is 400013312031.

It can be written as a sum of positive squares in 2 ways, for example, as 63075317904 + 67137992100 = 251148^2 + 259110^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1302133100043 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456607 + ... + 684774.

Almost surely, 2130213310004 is an apocalyptic number.

It is an amenable number.

130213310004 is an abundant number, since it is smaller than the sum of its proper divisors (199041155536).

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

130213310004 is a wasteful number, since it uses less digits than its factorization.

130213310004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144560 (or 1144555 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130213310004 its reverse (400013312031), we get a palindrome (530226622035).

The spelling of 130213310004 in words is "one hundred thirty billion, two hundred thirteen million, three hundred ten thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 3169 6338 9507 12676 19014 28521 38028 57042 114084 1141381 2282762 3424143 4565524 6848286 10272429 13696572 20544858 41089716 3617036389 7234072778 10851109167 14468145556 21702218334 32553327501 43404436668 65106655002 130213310004