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12135443100 = 22352113739859
BaseRepresentation
bin10110100110101010…
…00010101010011100
31011022201222101100120
423103111002222130
5144323133134400
65324104354540
7606504364404
oct132325025234
934281871316
1012135443100
115168161020
122428175a50
1311b5237981
148319d7804
154b05c6ca0
hex2d3542a9c

12135443100 has 144 divisors (see below), whose sum is σ = 38410458240. Its totient is φ = 2933740800.

The previous prime is 12135443087. The next prime is 12135443119. The reversal of 12135443100 is 134453121.

It is a happy number.

It is a super-2 number, since 2×121354431002 (a number of 21 digits) contains 22 as substring.

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, 1225971 + ... + 1235829.

Almost surely, 212135443100 is an apocalyptic number.

12135443100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12135443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19205229120).

12135443100 is an abundant number, since it is smaller than the sum of its proper divisors (26275015140).

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

12135443100 is a wasteful number, since it uses less digits than its factorization.

12135443100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10260 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12135443100 its reverse (134453121), we get a palindrome (12269896221).

The spelling of 12135443100 in words is "twelve billion, one hundred thirty-five million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 373 550 660 746 825 1100 1119 1492 1650 1865 2238 3300 3730 4103 4476 5595 7460 8206 9325 9859 11190 12309 16412 18650 19718 20515 22380 24618 27975 29577 37300 39436 41030 49236 49295 55950 59154 61545 82060 98590 102575 108449 111900 118308 123090 147885 197180 205150 216898 246180 246475 295770 307725 325347 410300 433796 492950 542245 591540 615450 650694 739425 985900 1084490 1230900 1301388 1478850 1626735 2168980 2711225 2957700 3253470 3677407 5422450 6506940 7354814 8133675 10844900 11032221 14709628 16267350 18387035 22064442 32534700 36774070 40451477 44128884 55161105 73548140 80902954 91935175 110322210 121354431 161805908 183870350 202257385 220644420 242708862 275805525 367740700 404514770 485417724 551611050 606772155 809029540 1011286925 1103222100 1213544310 2022573850 2427088620 3033860775 4045147700 6067721550 12135443100