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1011221406 = 23213113167229
BaseRepresentation
bin111100010001100…
…000001110011110
32121110210100222200
4330101200032132
54032333041111
6244201552330
734026145236
oct7421401636
92543710880
101011221406
11479898678
122427a56a6
13131668980
149842ccc6
155db9b256
hex3c46039e

1011221406 has 96 divisors (see below), whose sum is σ = 2405108160. Its totient is φ = 305206272.

The previous prime is 1011221389. The next prime is 1011221413. The reversal of 1011221406 is 6041221101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4415700 + ... + 4415928.

It is an arithmetic number, because the mean of its divisors is an integer number (25053210).

Almost surely, 21011221406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011221406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202554080).

1011221406 is an abundant number, since it is smaller than the sum of its proper divisors (1393886754).

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

1011221406 is a wasteful number, since it uses less digits than its factorization.

1011221406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1011221406 is about 31799.7076401655. The cubic root of 1011221406 is about 1003.7265641358.

Adding to 1011221406 its reverse (6041221101), we get a palindrome (7052442507).

The spelling of 1011221406 in words is "one billion, eleven million, two hundred twenty-one thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 167 226 229 234 334 339 458 501 678 687 1002 1017 1374 1469 1503 2034 2061 2171 2938 2977 3006 4122 4342 4407 5954 6513 8814 8931 13026 13221 17862 18871 19539 25877 26442 26793 37742 38243 39078 51754 53586 56613 76486 77631 113226 114729 155262 169839 229458 232893 245323 336401 339678 344187 465786 490646 497159 672802 688374 735969 994318 1009203 1471938 1491477 2018406 2207907 2982954 3027609 4321459 4415814 4474431 6055218 8642918 8948862 12964377 25928754 38893131 56178967 77786262 112357934 168536901 337073802 505610703 1011221406