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103034266272 = 2533722433727
BaseRepresentation
bin101111111110101010…
…0100010001010100000
3100211221122011001002000
41133331110202022200
53142003233010042
6115155553524000
710305166545600
oct1377524421240
9324848131060
10103034266272
113a773180283
1217b75b73600
139940330a82
144db6026c00
152a307eb74c
hex17fd5222a0

103034266272 has 144 divisors (see below), whose sum is σ = 349580689920. Its totient is φ = 29438349696.

The previous prime is 103034266271. The next prime is 103034266303. The reversal of 103034266272 is 272662430301.

103034266272 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 3 + 4 + 26 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103034266271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1174528 + ... + 1259199.

It is an arithmetic number, because the mean of its divisors is an integer number (2427643680).

Almost surely, 2103034266272 is an apocalyptic number.

103034266272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103034266272 is an abundant number, since it is smaller than the sum of its proper divisors (246546423648).

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

103034266272 is a wasteful number, since it uses less digits than its factorization.

103034266272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433760 (or 2433739 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 103034266272 its reverse (272662430301), we get a palindrome (375696696573).

The spelling of 103034266272 in words is "one hundred three billion, thirty-four million, two hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 2433727 4867454 7301181 9734908 14602362 17036089 19469816 21903543 29204724 34072178 38939632 43807086 51108267 58409448 65710629 68144356 77879264 87614172 102216534 116818896 119252623 131421258 136288712 153324801 175228344 204433068 233637792 238505246 262842516 272577424 306649602 350456688 357757869 408866136 459974403 477010492 525685032 545154848 613299204 700913376 715515738 817732272 919948806 954020984 1051370064 1073273607 1226598408 1431031476 1635464544 1839897612 1908041968 2102740128 2146547214 2453196816 2862062952 3219820821 3679795224 3816083936 4293094428 4906393632 5724125904 6439641642 7359590448 8586188856 11448251808 12879283284 14719180896 17172377712 25758566568 34344755424 51517133136 103034266272