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104157262300 = 225271317366161
BaseRepresentation
bin110000100000001000…
…0011011000111011100
3100221211220021011000111
41201000100123013130
53201303224343200
6115503231335404
710345054056520
oct1410020330734
9327756234014
10104157262300
114019a071873
121822a081564
139a8bba3770
14508122dd80
152a991c60ba
hex184041b1dc

104157262300 has 144 divisors (see below), whose sum is σ = 279792217152. Its totient is φ = 32773017600.

The previous prime is 104157262289. The next prime is 104157262301. The reversal of 104157262300 is 3262751401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104157262301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1541220 + ... + 1607380.

It is an arithmetic number, because the mean of its divisors is an integer number (1943001508).

Almost surely, 2104157262300 is an apocalyptic number.

104157262300 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 104157262300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139896108576).

104157262300 is an abundant number, since it is smaller than the sum of its proper divisors (175634954852).

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

104157262300 is a wasteful number, since it uses less digits than its factorization.

104157262300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66368 (or 66361 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 104157262300 in words is "one hundred four billion, one hundred fifty-seven million, two hundred sixty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 173 175 182 260 325 346 350 364 455 650 692 700 865 910 1211 1300 1730 1820 2249 2275 2422 3460 4325 4498 4550 4844 6055 8650 8996 9100 11245 12110 15743 17300 22490 24220 30275 31486 44980 56225 60550 62972 66161 78715 112450 121100 132322 157430 224900 264644 314860 330805 393575 463127 661610 787150 860093 926254 1323220 1574300 1654025 1720186 1852508 2315635 3308050 3440372 4300465 4631270 6020651 6616100 8600930 9262540 11445853 11578175 12041302 17201860 21502325 22891706 23156350 24082604 30103255 43004650 45783412 46312700 57229265 60206510 80120971 86009300 114458530 120413020 148796089 150516275 160241942 228917060 286146325 297592178 301032550 320483884 400604855 572292650 595184356 602065100 743980445 801209710 1041572623 1144585300 1487960890 1602419420 2003024275 2083145246 2975921780 3719902225 4006048550 4166290492 5207863115 7439804450 8012097100 10415726230 14879608900 20831452460 26039315575 52078631150 104157262300