Search a number
-
+
11241213102 = 2337296116811
BaseRepresentation
bin10100111100000011…
…10100110010101110
31002000102022210102000
422132001310302232
5141010222304402
65055242113130
7545365510020
oct123601646256
932012283360
1011241213102
11484940a869
1222187ab7a6
1310a1bb16b2
14788d40010
1545bd39c1c
hex29e074cae

11241213102 has 128 divisors (see below), whose sum is σ = 30019507200. Its totient is φ = 3050006400.

The previous prime is 11241213079. The next prime is 11241213119. The reversal of 11241213102 is 20131214211.

11241213102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 660277 + ... + 677087.

It is an arithmetic number, because the mean of its divisors is an integer number (234527400).

Almost surely, 211241213102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11241213102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15009753600).

11241213102 is an abundant number, since it is smaller than the sum of its proper divisors (18778294098).

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

11241213102 is a wasteful number, since it uses less digits than its factorization.

11241213102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16919 (or 16913 counting only the distinct ones).

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

Adding to 11241213102 its reverse (20131214211), we get a palindrome (31372427313).

The spelling of 11241213102 in words is "eleven billion, two hundred forty-one million, two hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 61 63 87 122 126 174 183 189 203 261 366 378 406 427 522 549 609 783 854 1098 1218 1281 1566 1647 1769 1827 2562 3294 3538 3654 3843 5307 5481 7686 10614 10962 11529 12383 15921 16811 23058 24766 31842 33622 37149 47763 50433 74298 95526 100866 111447 117677 151299 222894 235354 302598 334341 353031 453897 487519 668682 706062 907794 975038 1025471 1059093 1462557 2050942 2118186 2925114 3076413 3177279 3412633 4387671 6152826 6354558 6825266 7178297 8775342 9229239 10237899 13163013 14356594 18458478 20475798 21534891 26326026 27687717 29738659 30713697 43069782 55375434 59477318 61427394 64604673 89215977 92141091 129209346 178431954 184282182 193814019 208170613 267647931 387628038 416341226 535295862 624511839 802943793 1249023678 1605887586 1873535517 3747071034 5620606551 11241213102