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12101341434 = 23713371513967
BaseRepresentation
bin10110100010100101…
…11101000011111010
31011020100210211122220
423101102331003322
5144240420411214
65320445424510
7605611463550
oct132122750372
934210724586
1012101341434
11514a989a26
12241886b136
1311ab157a80
1482b27bbd0
154ac5dc9a9
hex2d14bd0fa

12101341434 has 128 divisors (see below), whose sum is σ = 30803361792. Its totient is φ = 3083961600.

The previous prime is 12101341367. The next prime is 12101341453. The reversal of 12101341434 is 43414310121.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3048519 + ... + 3052485.

It is an arithmetic number, because the mean of its divisors is an integer number (240651264).

Almost surely, 212101341434 is an apocalyptic number.

12101341434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101341434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15401680896).

12101341434 is an abundant number, since it is smaller than the sum of its proper divisors (18702020358).

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

12101341434 is a wasteful number, since it uses less digits than its factorization.

12101341434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12101341434 its reverse (43414310121), we get a palindrome (55515651555).

The spelling of 12101341434 in words is "twelve billion, one hundred one million, three hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 151 182 222 259 273 302 453 481 518 546 777 906 962 1057 1443 1554 1963 2114 2886 3171 3367 3926 3967 5587 5889 6342 6734 7934 10101 11174 11778 11901 13741 16761 20202 23802 27482 27769 33522 39109 41223 51571 55538 72631 78218 82446 83307 103142 117327 145262 146779 154713 166614 217893 234654 293558 309426 360997 435786 440337 508417 599017 721994 880674 1016834 1027453 1082991 1198034 1525251 1797051 1908127 2054906 2165982 3050502 3082359 3594102 3816254 4193119 5724381 6164718 7787221 8386238 11448762 12579357 13356889 15574442 22163629 23361663 25158714 26713778 40070667 44327258 46723326 54510547 66490887 80141334 109021094 132981774 155145403 163531641 288127177 310290806 327063282 465436209 576254354 864381531 930872418 1728763062 2016890239 4033780478 6050670717 12101341434