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11212013124 = 223213229233449
BaseRepresentation
bin10100111000100100…
…11011111001000100
31001221101101021120100
422130102123321010
5140430233404444
65052320204100
7544562352624
oct123422337104
931841337510
1011212013124
114833986454
12220aa69630
131098b298c0
147850dc884
154594bce69
hex29c49be44

11212013124 has 144 divisors (see below), whose sum is σ = 30855006000. Its totient is φ = 3412426752.

The previous prime is 11212013081. The next prime is 11212013149. The reversal of 11212013124 is 42131021211.

It can be written as a sum of positive squares in 8 ways, for example, as 16257024 + 11195756100 = 4032^2 + 105810^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11212013097 and 11212013106.

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, 24970852 + ... + 24971300.

It is an arithmetic number, because the mean of its divisors is an integer number (214270875).

Almost surely, 211212013124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212013124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427503000).

11212013124 is an abundant number, since it is smaller than the sum of its proper divisors (19642992876).

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

11212013124 is a wasteful number, since it uses less digits than its factorization.

11212013124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 929 counting only the distinct ones).

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

Adding to 11212013124 its reverse (42131021211), we get a palindrome (53343034335).

The spelling of 11212013124 in words is "eleven billion, two hundred twelve million, thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 229 233 234 449 458 466 468 687 699 898 916 932 1347 1374 1398 1796 2061 2097 2694 2748 2796 2977 3029 4041 4122 4194 5388 5837 5954 6058 8082 8244 8388 8931 9087 11674 11908 12116 16164 17511 17862 18174 23348 26793 27261 35022 35724 36348 52533 53357 53586 54522 70044 102821 104617 105066 106714 107172 109044 160071 205642 209234 210132 213428 308463 313851 320142 411284 418468 480213 616926 627702 640284 693641 925389 941553 960426 1233852 1255404 1336673 1360021 1387282 1850778 1883106 1920852 2080923 2673346 2720042 2774564 3701556 3766212 4010019 4080063 4161846 5346692 5440084 6242769 8020038 8160126 8323692 12030057 12240189 12485538 16040076 16320252 23957293 24060114 24480378 24971076 47914586 48120228 48960756 71871879 95829172 143743758 215615637 287487516 311444809 431231274 622889618 862462548 934334427 1245779236 1868668854 2803003281 3737337708 5606006562 11212013124