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1223132313221 = 713210911937951
BaseRepresentation
bin10001110011001000010…
…111011111011010000101
311022221010012020101011222
4101303020113133122011
5130014433333010341
62333522122210125
7154240234056320
oct21631027373205
94287105211158
101223132313221
11431800338425
12179074653945
138b457bc2500
14432b28197b7
1521c3a93444b
hex11cc85df685

1223132313221 has 48 divisors (see below), whose sum is σ = 1529024555520. Its totient is φ = 957950323200.

The previous prime is 1223132313173. The next prime is 1223132313229.

1223132313221 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-1223132313221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223132313229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153829796 + ... + 153837746.

It is an arithmetic number, because the mean of its divisors is an integer number (31854678240).

Almost surely, 21223132313221 is an apocalyptic number.

It is an amenable number.

1223132313221 is a deficient number, since it is larger than the sum of its proper divisors (305892242299).

1223132313221 is a wasteful number, since it uses less digits than its factorization.

1223132313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9286 (or 9273 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The spelling of 1223132313221 in words is "one trillion, two hundred twenty-three billion, one hundred thirty-two million, three hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 7 13 91 109 169 763 1183 1193 1417 7951 8351 9919 15509 18421 55657 103363 108563 128947 130037 201617 723541 866659 910259 1343719 1411319 1690481 6066613 9406033 9485543 11266567 11833367 21976253 66398801 78865969 123312059 146465371 153833771 863184413 1025257597 1033924187 1603056767 7237469309 11221397369 13441014431 94087101017 174733187603 1223132313221