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101111022213 = 317411092711637
BaseRepresentation
bin101111000101010101…
…1111100001010000101
3100122222121020010012120
41132022223330022011
53124033410202323
6114241052040153
710206424336215
oct1361253741205
9318877203176
10101111022213
1139976599583
1217719a63059
1396c4a4c336
144c7282c245
15296ba4b5e3
hex178aafc285

101111022213 has 64 divisors (see below), whose sum is σ = 148203095040. Its totient is φ = 61063372800.

The previous prime is 101111022169. The next prime is 101111022253. The reversal of 101111022213 is 312220111101.

It is not a de Polignac number, because 101111022213 - 29 = 101111021701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111022192 and 101111022201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111022253) 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 63 ways as a sum of consecutive naturals, for example, 61765231 + ... + 61766867.

It is an arithmetic number, because the mean of its divisors is an integer number (2315673360).

Almost surely, 2101111022213 is an apocalyptic number.

It is an amenable number.

101111022213 is a deficient number, since it is larger than the sum of its proper divisors (47092072827).

101111022213 is a wasteful number, since it uses less digits than its factorization.

101111022213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101111022213 its reverse (312220111101), we get a palindrome (413331133314).

The spelling of 101111022213 in words is "one hundred one billion, one hundred eleven million, twenty-two thousand, two hundred thirteen".

Divisors: 1 3 17 41 51 109 123 271 327 697 813 1637 1853 2091 4469 4607 4911 5559 11111 13407 13821 27829 29539 33333 67117 75973 83487 88617 178433 188887 201351 227919 443627 502163 535299 566661 1140989 1211099 1330881 1506489 3033361 3422967 3633297 7315753 7541659 9100083 18188707 20588683 21947259 22624977 48355343 54566121 61766049 124367801 145066029 309208019 373103403 822040831 927624057 1982569063 2466122493 5947707189 33703674071 101111022213