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101331123011223 = 3760752453151553
BaseRepresentation
bin10111000010100011111101…
…100101110111111010010111
3111021210011100012002202200020
4113002203331211313322113
5101240202114442324343
6555302513020320223
730225634456065660
oct2702437545677227
9437704305082606
10101331123011223
112a318319274346
12b4467980a3073
13447063a182051
141b04649a14367
15baacc5becb83
hex5c28fd977e97

101331123011223 has 32 divisors (see below), whose sum is σ = 154667680567296. Its totient is φ = 57806622425088.

The previous prime is 101331123011219. The next prime is 101331123011227. The reversal of 101331123011223 is 322110321133101.

It is an interprime number because it is at equal distance from previous prime (101331123011219) and next prime (101331123011227).

It is not a de Polignac number, because 101331123011223 - 22 = 101331123011219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101331123011193 and 101331123011202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331123011227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 668542615 + ... + 668694167.

It is an arithmetic number, because the mean of its divisors is an integer number (4833365017728).

Almost surely, 2101331123011223 is an apocalyptic number.

101331123011223 is a deficient number, since it is larger than the sum of its proper divisors (53336557556073).

101331123011223 is a wasteful number, since it uses less digits than its factorization.

101331123011223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204623.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101331123011223 its reverse (322110321133101), we get a palindrome (423441444144324).

The spelling of 101331123011223 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty-three million, eleven thousand, two hundred twenty-three".

Divisors: 1 3 7 21 607 1821 4249 12747 52453 151553 157359 367171 454659 1060871 1101513 3182613 31838971 91992671 95516913 222872797 275978013 643948697 668618391 1931846091 7949409509 23848228527 55645866563 166937599689 4825291571963 14475874715889 33777041003741 101331123011223