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104214323025 = 325237611631259
BaseRepresentation
bin110000100001110101…
…0000101111101010001
3100221222212122010121200
41201003222011331101
53201412331314100
6115513030341413
710346346062361
oct1410352057521
9327885563550
10104214323025
11402192a539a
12182451ba869
139a9a9618c7
145088a449a1
152a9e1e7e00
hex1843a85f51

104214323025 has 144 divisors (see below), whose sum is σ = 196198067520. Its totient is φ = 52823923200.

The previous prime is 104214323021. The next prime is 104214323027. The reversal of 104214323025 is 520323412401.

104214323025 is a `hidden beast` number, since 1 + 0 + 421 + 4 + 3 + 230 + 2 + 5 = 666.

It is not a de Polignac number, because 104214323025 - 22 = 104214323021 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 104214323025.

It is not an unprimeable number, because it can be changed into a prime (104214323021) 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 143 ways as a sum of consecutive naturals, for example, 82774846 + ... + 82776104.

It is an arithmetic number, because the mean of its divisors is an integer number (1362486580).

Almost surely, 2104214323025 is an apocalyptic number.

104214323025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104214323025 is a deficient number, since it is larger than the sum of its proper divisors (91983744495).

104214323025 is a wasteful number, since it uses less digits than its factorization.

104214323025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 104214323025 its reverse (520323412401), we get a palindrome (624537735426).

The spelling of 104214323025 in words is "one hundred four billion, two hundred fourteen million, three hundred twenty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 37 45 61 75 111 163 183 185 225 305 333 489 549 555 815 915 925 1259 1467 1525 1665 2257 2445 2745 2775 3777 4075 4575 6031 6295 6771 7335 8325 9943 11285 11331 12225 13725 18093 18885 20313 29829 30155 31475 33855 36675 46583 49715 54279 56425 56655 76799 89487 90465 94425 101565 139749 149145 150775 169275 205217 230397 232915 248575 271395 283275 367891 383995 419247 447435 452325 507825 615651 691191 698745 745725 1026085 1103673 1151985 1164575 1356975 1839455 1846953 1919975 2096235 2237175 2841563 3078255 3311019 3455955 3493725 5130425 5518365 5759925 7593029 8524689 9197275 9234765 10481175 12518237 14207815 15391275 16555095 17279775 22779087 25574067 27591825 37554711 37965145 42623445 46173825 62591185 68337261 71039075 82775475 112664133 113895435 127870335 187773555 189825725 213117225 312955925 341686305 463174769 563320665 569477175 639351675 938867775 1389524307 1708431525 2315873845 2816603325 4168572921 6947621535 11579369225 20842864605 34738107675 104214323025