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1331131223312 = 241140927776659
BaseRepresentation
bin10011010111101101100…
…110101000110100010000
311201020212211020110020222
4103113231212220310100
5133302124043121222
62455302505452212
7165112446465362
oct23275546506420
94636784213228
101331131223312
11473590967020
12195b951a1068
13986a9952c37
14485d9d3cd32
152495c001542
hex135ed9a8d10

1331131223312 has 80 divisors (see below), whose sum is σ = 2821845729600. Its totient is φ = 603272325120.

The previous prime is 1331131223309. The next prime is 1331131223347. The reversal of 1331131223312 is 2133221311331.

It is a super-2 number, since 2×13311312233122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199896239 + ... + 199902897.

It is an arithmetic number, because the mean of its divisors is an integer number (35273071620).

Almost surely, 21331131223312 is an apocalyptic number.

It is an amenable number.

1331131223312 is an abundant number, since it is smaller than the sum of its proper divisors (1490714506288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331131223312 is a wasteful number, since it uses less digits than its factorization.

1331131223312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9864 (or 9858 counting only the distinct ones).

The product of its digits is 1944, while the sum is 26.

Adding to 1331131223312 its reverse (2133221311331), we get a palindrome (3464352534643).

The spelling of 1331131223312 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-one million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 409 818 1636 2777 3272 4499 5554 6544 6659 8998 11108 13318 17996 22216 26636 30547 35992 44432 53272 61094 71984 73249 106544 122188 146498 244376 292996 488752 585992 1135793 1171984 2271586 2723531 4543172 5447062 9086344 10894124 12493723 18172688 18492043 21788248 24987446 29958841 36984086 43576496 49974892 59917682 73968172 99949784 119835364 147936344 199899568 203412473 239670728 295872688 406824946 479341456 813649892 1627299784 3254599568 7563245587 15126491174 30252982348 60505964696 83195701457 121011929392 166391402914 332782805828 665565611656 1331131223312