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101134143012 = 223717157451097
BaseRepresentation
bin101111000110000010…
…0001000111000100100
3100200001012201202222110
41132030010020320210
53124110320034022
6114243235401020
710210125013620
oct1361404107044
9320035652873
10101134143012
1139988650581
1217725753170
1396c9786096
144c7592a180
15296dab700c
hex178c108e24

101134143012 has 96 divisors (see below), whose sum is σ = 287374687488. Its totient is φ = 27022454784.

The previous prime is 101134143001. The next prime is 101134143017. The reversal of 101134143012 is 210341431101.

It is a super-3 number, since 3×1011341430123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101134143012.

It is not an unprimeable number, because it can be changed into a prime (101134143017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1353 + ... + 449744.

It is an arithmetic number, because the mean of its divisors is an integer number (2993486328).

Almost surely, 2101134143012 is an apocalyptic number.

101134143012 is a gapful number since it is divisible by the number (12) 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 101134143012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143687343744).

101134143012 is an abundant number, since it is smaller than the sum of its proper divisors (186240544476).

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

101134143012 is a wasteful number, since it uses less digits than its factorization.

101134143012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451285 (or 451283 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101134143012 its reverse (210341431101), we get a palindrome (311475574113).

The spelling of 101134143012 in words is "one hundred one billion, one hundred thirty-four million, one hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 157 204 238 314 357 471 476 628 714 942 1099 1428 1884 2198 2669 3297 4396 5338 6594 8007 10676 13188 16014 18683 32028 37366 56049 74732 112098 224196 451097 902194 1353291 1804388 2706582 3157679 5413164 6315358 7668649 9473037 12630716 15337298 18946074 23005947 30674596 37892148 46011894 53680543 70822229 92023788 107361086 141644458 161041629 212466687 214722172 283288916 322083258 424933374 495755603 644166516 849866748 991511206 1203977893 1487266809 1983022412 2407955786 2974533618 3611933679 4815911572 5949067236 7223867358 8427845251 14447734716 16855690502 25283535753 33711381004 50567071506 101134143012