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101011203223 = 72191014392447
BaseRepresentation
bin101111000010010111…
…1001010010010010111
3100122201122101210021221
41132010233022102113
53123332332000343
6114223124351211
710204103026600
oct1360457122227
9318648353257
10101011203223
1139925211047
12176b0545507
1396aa170048
144c63486da7
152962dd05ed
hex1784bca497

101011203223 has 48 divisors (see below), whose sum is σ = 125247513600. Its totient is φ = 80993908800.

The previous prime is 101011203217. The next prime is 101011203229. The reversal of 101011203223 is 322302110101.

It is an interprime number because it is at equal distance from previous prime (101011203217) and next prime (101011203229).

It is not a de Polignac number, because 101011203223 - 25 = 101011203191 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011203197 and 101011203206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011203229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41278386 + ... + 41280832.

It is an arithmetic number, because the mean of its divisors is an integer number (2609323200).

Almost surely, 2101011203223 is an apocalyptic number.

101011203223 is a deficient number, since it is larger than the sum of its proper divisors (24236310377).

101011203223 is a wasteful number, since it uses less digits than its factorization.

101011203223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101011203223 its reverse (322302110101), we get a palindrome (423313313324).

The spelling of 101011203223 in words is "one hundred one billion, eleven million, two hundred three thousand, two hundred twenty-three".

Divisors: 1 7 19 49 101 133 439 707 931 1919 2447 3073 4949 8341 13433 17129 21511 44339 46493 58387 94031 119903 247147 310373 325451 408709 842441 1074233 1730029 2172611 2278157 4695793 5897087 7519631 12110203 20410427 32870551 41279609 52637417 108497533 142872989 230093857 759482731 1000110923 2061453127 5316379117 14430171889 101011203223