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11213107146 = 232171912971487
BaseRepresentation
bin10100111000101101…
…00110111111001010
31001221110102212021200
422130112212333022
5140431023412041
65052355445030
7544604560323
oct123426467712
931843385250
1011213107146
1148345633aa
12220b2b6776
131099120857
1478530544a
154596371b6
hex29c5a6fca

11213107146 has 96 divisors (see below), whose sum is σ = 27117192960. Its totient is φ = 3327879168.

The previous prime is 11213107093. The next prime is 11213107151. The reversal of 11213107146 is 64170131211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7540015 + ... + 7541501.

It is an arithmetic number, because the mean of its divisors is an integer number (282470760).

Almost surely, 211213107146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11213107146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13558596480).

11213107146 is an abundant number, since it is smaller than the sum of its proper divisors (15904085814).

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

11213107146 is a wasteful number, since it uses less digits than its factorization.

11213107146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 11213107146 its reverse (64170131211), we get a palindrome (75383238357).

The spelling of 11213107146 in words is "eleven billion, two hundred thirteen million, one hundred seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1297 1487 1938 2594 2907 2974 3891 4461 5814 7782 8922 11673 13383 22049 23346 24643 25279 26766 28253 44098 49286 50558 56506 66147 73929 75837 84759 132294 147858 151674 169518 198441 221787 227511 254277 396882 418931 443574 455022 480301 508554 837862 960602 1256793 1440903 1928639 2513586 2881806 3770379 3857278 4322709 5785917 7540758 8645418 11571834 17357751 32786863 34715502 36644141 65573726 73288282 98360589 109932423 196721178 219864846 295081767 329797269 590163534 622950397 659594538 1245900794 1868851191 3737702382 5606553573 11213107146