Search a number
-
+
1011221013 = 3111723109719
BaseRepresentation
bin111100010001100…
…000001000010101
32121110210100110010
4330101200020111
54032333033023
6244201550433
734026144135
oct7421401025
92543710403
101011221013
11479898350
122427a5419
1313166873a
149842cac5
155db9b093
hex3c460215

1011221013 has 64 divisors (see below), whose sum is σ = 1642291200. Its totient is φ = 545909760.

The previous prime is 1011221011. The next prime is 1011221033. The reversal of 1011221013 is 3101221101.

It is not a de Polignac number, because 1011221013 - 21 = 1011221011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1011221013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011221011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1406068 + ... + 1406786.

It is an arithmetic number, because the mean of its divisors is an integer number (25660800).

Almost surely, 21011221013 is an apocalyptic number.

It is an amenable number.

1011221013 is a deficient number, since it is larger than the sum of its proper divisors (631070187).

1011221013 is a wasteful number, since it uses less digits than its factorization.

1011221013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1011221013 is about 31799.7014608628. The cubic root of 1011221013 is about 1003.7264341067.

Adding to 1011221013 its reverse (3101221101), we get a palindrome (4112442114).

It can be divided in two parts, 10112 and 21013, that added together give a triangular number (31125 = T249).

The spelling of 1011221013 in words is "one billion, eleven million, two hundred twenty-one thousand, thirteen".

Divisors: 1 3 11 17 23 33 51 69 109 187 253 327 391 561 719 759 1173 1199 1853 2157 2507 3597 4301 5559 7521 7909 12223 12903 16537 20383 23727 27577 36669 42619 49611 61149 78371 82731 127857 134453 181907 235113 281129 403359 468809 545721 843387 862081 1332307 1406427 1802533 2586243 3092419 3996921 5407599 9277257 14655377 19827863 30643061 43966131 59483589 91929183 337073671 1011221013