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11214342412 = 22713191978231
BaseRepresentation
bin10100111000110110…
…10100100100001100
31001221112202121202021
422130123110210030
5140431332424122
65052442135524
7544621223560
oct123433244414
931845677667
1011214342412
114835227489
12220b7b15a4
131099463b90
147855476a0
154597cd1c7
hex29c6d490c

11214342412 has 96 divisors (see below), whose sum is σ = 25557396480. Its totient is φ = 4181103360.

The previous prime is 11214342401. The next prime is 11214342449. The reversal of 11214342412 is 21424341211.

It is a super-2 number, since 2×112143424122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1358337 + ... + 1366567.

It is an arithmetic number, because the mean of its divisors is an integer number (266222880).

Almost surely, 211214342412 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 11214342412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12778698240).

11214342412 is an abundant number, since it is smaller than the sum of its proper divisors (14343054068).

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

11214342412 is a wasteful number, since it uses less digits than its factorization.

11214342412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8471 (or 8469 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

Adding to 11214342412 its reverse (21424341211), we get a palindrome (32638683623).

The spelling of 11214342412 in words is "eleven billion, two hundred fourteen million, three hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 197 247 266 364 394 494 532 788 988 1379 1729 2561 2758 3458 3743 5122 5516 6916 7486 8231 10244 14972 16462 17927 26201 32924 35854 48659 52402 57617 71708 97318 104804 107003 115234 156389 194636 214006 230468 312778 340613 428012 625556 681226 749021 1094723 1362452 1498042 1621507 2033057 2189446 2996084 3243014 4066114 4378892 6486028 8132228 11350549 14231399 21079591 22701098 28462798 30808633 42159182 45402196 56925596 61617266 84318364 123234532 147557137 215660431 295114274 400512229 431320862 590228548 801024458 862641724 1602048916 2803585603 5607171206 11214342412