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130312202000 = 245365156101
BaseRepresentation
bin111100101011100110…
…1100110011100010000
3110110100200101202020212
41321113031212130100
54113334410431000
6135510430423252
712262154304161
oct1712715463420
9413320352225
10130312202000
11502a0928112
1221309361b28
13c399785546
146442b37768
1535ca482c35
hex1e57366710

130312202000 has 40 divisors (see below), whose sum is σ = 315094909272. Its totient is φ = 52124880000.

The previous prime is 130312201979. The next prime is 130312202039. The reversal of 130312202000 is 202213031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1451305216 + 128860896784 = 38096^2 + 358972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 32576051 + ... + 32580050.

Almost surely, 2130312202000 is an apocalyptic number.

130312202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130312202000 is an abundant number, since it is smaller than the sum of its proper divisors (184782707272).

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

130312202000 is an equidigital number, since it uses as much as digits as its factorization.

130312202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65156124 (or 65156108 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 130312202000 its reverse (202213031), we get a palindrome (130514415031).

The spelling of 130312202000 in words is "one hundred thirty billion, three hundred twelve million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 65156101 130312202 260624404 325780505 521248808 651561010 1042497616 1303122020 1628902525 2606244040 3257805050 5212488080 6515610100 8144512625 13031220200 16289025250 26062440400 32578050500 65156101000 130312202000