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130123235700 = 22345216064597
BaseRepresentation
bin111100100101111110…
…0110000000101110100
3110102212111211021020000
41321023330300011310
54112443022020300
6135440000311300
712254401153053
oct1711374600564
9412774737200
10130123235700
11502041a0a17
1221276012530
13c369592473
1464259c839a
1535b8aa7c00
hex1e4bf30174

130123235700 has 90 divisors (see below), whose sum is σ = 421808149686. Its totient is φ = 34699527360.

The previous prime is 130123235629. The next prime is 130123235717. The reversal of 130123235700 is 7532321031.

130123235700 is a `hidden beast` number, since 1 + 301 + 2 + 3 + 2 + 357 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 341732196 + 129781503504 = 18486^2 + 360252^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 8024199 + ... + 8040398.

Almost surely, 2130123235700 is an apocalyptic number.

130123235700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130123235700 is an abundant number, since it is smaller than the sum of its proper divisors (291684913986).

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

130123235700 is a wasteful number, since it uses less digits than its factorization.

130123235700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16064623 (or 16064607 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 130123235700 its reverse (7532321031), we get a palindrome (137655556731).

The spelling of 130123235700 in words is "one hundred thirty billion, one hundred twenty-three million, two hundred thirty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 16064597 32129194 48193791 64258388 80322985 96387582 144581373 160645970 192775164 240968955 289162746 321291940 401614925 433744119 481937910 578325492 722906865 803229850 867488238 963875820 1204844775 1301232357 1445813730 1606459700 1734976476 2168720595 2409689550 2602464714 2891627460 3614534325 4337441190 4819379100 5204929428 6506161785 7229068650 8674882380 10843602975 13012323570 14458137300 21687205950 26024647140 32530808925 43374411900 65061617850 130123235700