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1270138221 = 3211174179233
BaseRepresentation
bin100101110110100…
…1100010101101101
310021111222201002100
41023231030111231
510100123410341
6330011245313
743321665612
oct11355142555
93244881070
101270138221
115a1a61710
122b5449839
131731b0ba1
14c098a509
15767923b6
hex4bb4c56d

1270138221 has 96 divisors (see below), whose sum is σ = 2207761920. Its totient is φ = 694886400.

The previous prime is 1270138151. The next prime is 1270138237. The reversal of 1270138221 is 1228310721.

It is not a de Polignac number, because 1270138221 - 29 = 1270137709 is a prime.

It is a super-2 number, since 2×12701382212 = 3226502200890089682, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270138291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5451121 + ... + 5451353.

It is an arithmetic number, because the mean of its divisors is an integer number (22997520).

Almost surely, 21270138221 is an apocalyptic number.

1270138221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1270138221 is a deficient number, since it is larger than the sum of its proper divisors (937623699).

1270138221 is a wasteful number, since it uses less digits than its factorization.

1270138221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1270138221 is about 35638.9985970425. The cubic root of 1270138221 is about 1082.9714185360.

Adding to 1270138221 its reverse (1228310721), we get a palindrome (2498448942).

The spelling of 1270138221 in words is "one billion, two hundred seventy million, one hundred thirty-eight thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 33 41 51 79 99 123 153 187 233 237 369 451 561 697 699 711 869 1343 1353 1683 2091 2097 2563 2607 3239 3961 4029 4059 6273 7667 7689 7821 9553 9717 11883 12087 14773 18407 23001 23067 28659 29151 35629 35649 43571 44319 55063 55221 69003 85977 105083 106887 130713 132957 162401 165189 165663 202477 312919 315249 320661 392139 487203 495567 605693 607431 754687 938757 945747 1461609 1786411 1817079 1822293 2264061 2816271 3442109 5359233 5451237 6792183 8301557 10326327 12829679 16077699 24904671 30978981 38489037 74714013 115467111 141126469 423379407 1270138221