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130323122000 = 2453173833033
BaseRepresentation
bin111100101011111011…
…1010000011101010000
3110110101102221112200022
41321113313100131100
54113400204401000
6135511500443012
712262346155001
oct1712767203520
9413342845608
10130323122000
11502a7006505
1221310b49468
13c39bb09a96
14644437b1a8
1535cb3dd585
hex1e57dd0750

130323122000 has 80 divisors (see below), whose sum is σ = 333657943632. Its totient is φ = 49062809600.

The previous prime is 130323121921. The next prime is 130323122089. The reversal of 130323122000 is 221323031.

It can be written as a sum of positive squares in 8 ways, for example, as 19188898576 + 111134223424 = 138524^2 + 333368^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1303231220002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 130323122000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1882517 + ... + 1950516.

Almost surely, 2130323122000 is an apocalyptic number.

130323122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130323122000 is an abundant number, since it is smaller than the sum of its proper divisors (203334821632).

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

130323122000 is a wasteful number, since it uses less digits than its factorization.

130323122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833073 (or 3833057 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 130323122000 its reverse (221323031), we get a palindrome (130544445031).

It can be divided in two parts, 1303231 and 22000, that added together give a palindrome (1325231).

The spelling of 130323122000 in words is "one hundred thirty billion, three hundred twenty-three million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 3833033 7666066 15332132 19165165 30664264 38330330 61328528 65161561 76660660 95825825 130323122 153321320 191651650 260646244 306642640 325807805 383303300 479129125 521292488 651615610 766606600 958258250 1042584976 1303231220 1533213200 1629039025 1916516500 2606462440 3258078050 3833033000 5212924880 6516156100 7666066000 8145195125 13032312200 16290390250 26064624400 32580780500 65161561000 130323122000