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100273273001 = 1129316999191
BaseRepresentation
bin101110101100011000…
…0001011100010101001
3100120211012212001022222
41131120300023202221
53120324424214001
6114022004123425
710146602520536
oct1353060134251
9316735761288
10100273273001
1139586715160
1217525396575
1395c0310245
144bd3477d8d
15291d21961b
hex1758c0b8a9

100273273001 has 16 divisors (see below), whose sum is σ = 113197910400. Its totient is φ = 87985497600.

The previous prime is 100273272989. The next prime is 100273273013. The reversal of 100273273001 is 100372372001.

It is an interprime number because it is at equal distance from previous prime (100273272989) and next prime (100273273013).

It is not a de Polignac number, because 100273273001 - 222 = 100269078697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100273273031) 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 15 ways as a sum of consecutive naturals, for example, 961316 + ... + 1060506.

It is an arithmetic number, because the mean of its divisors is an integer number (7074869400).

Almost surely, 2100273273001 is an apocalyptic number.

100273273001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100273273001 is a deficient number, since it is larger than the sum of its proper divisors (12924637399).

100273273001 is a wasteful number, since it uses less digits than its factorization.

100273273001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102400.

The product of its (nonzero) digits is 1764, while the sum is 26.

The spelling of 100273273001 in words is "one hundred billion, two hundred seventy-three million, two hundred seventy-three thousand, one".

Divisors: 1 11 29 319 3169 34859 91901 99191 1010911 1091101 2876539 31641929 314336279 3457699069 9115752091 100273273001