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104310100400 = 24521189266369
BaseRepresentation
bin110000100100101011…
…1011101000110110000
3100222020112212010110212
41201021113131012300
53202111341203100
6115530331243252
710351621136612
oct1411127350660
9328215763425
10104310100400
1140268372350
12182712a9528
139ab47573cc
145097656db2
152aa7816635
hex18495dd1b0

104310100400 has 120 divisors (see below), whose sum is σ = 276460095600. Its totient is φ = 37504614400.

The previous prime is 104310100399. The next prime is 104310100409. The reversal of 104310100400 is 4001013401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (104310100409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258416 + ... + 524784.

It is an arithmetic number, because the mean of its divisors is an integer number (2303834130).

Almost surely, 2104310100400 is an apocalyptic number.

104310100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104310100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138230047800).

104310100400 is an abundant number, since it is smaller than the sum of its proper divisors (172149995200).

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

104310100400 is a wasteful number, since it uses less digits than its factorization.

104310100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266487 (or 266476 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 104310100400 its reverse (4001013401), we get a palindrome (108311113801).

The spelling of 104310100400 in words is "one hundred four billion, three hundred ten million, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 89 100 110 176 178 200 220 275 356 400 440 445 550 712 880 890 979 1100 1424 1780 1958 2200 2225 3560 3916 4400 4450 4895 7120 7832 8900 9790 15664 17800 19580 24475 35600 39160 48950 78320 97900 195800 266369 391600 532738 1065476 1331845 2130952 2663690 2930059 4261904 5327380 5860118 6659225 10654760 11720236 13318450 14650295 21309520 23440472 23706841 26636900 29300590 46880944 47413682 53273800 58601180 73251475 94827364 106547600 117202360 118534205 146502950 189654728 234404720 237068410 260775251 293005900 379309456 474136820 521550502 586011800 592671025 948273640 1043101004 1172023600 1185342050 1303876255 1896547280 2086202008 2370684100 2607752510 4172404016 4741368200 5215505020 6519381275 9482736400 10431010040 13038762550 20862020080 26077525100 52155050200 104310100400