Search a number
-
+
20001355542 = 23371723135329
BaseRepresentation
bin10010101000001011…
…000111011100010110
31220121221002010201000
4102220023013130112
5311430321334132
613104414244130
71305436500630
oct225013073426
956557063630
1020001355542
118534275503
123a624b6646
131b69a6092c
14d7a559a50
157c0e3787c
hex4a82c7716

20001355542 has 128 divisors (see below), whose sum is σ = 56124057600. Its totient is φ = 5144629248.

The previous prime is 20001355513. The next prime is 20001355547. The reversal of 20001355542 is 24555310002.

It is a happy number.

It is a super-2 number, since 2×200013555422 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001355547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80134 + ... + 215462.

It is an arithmetic number, because the mean of its divisors is an integer number (438469200).

Almost surely, 220001355542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001355542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28062028800).

20001355542 is an abundant number, since it is smaller than the sum of its proper divisors (36122702058).

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

20001355542 is a wasteful number, since it uses less digits than its factorization.

20001355542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135387 (or 135381 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 20001355542 its reverse (24555310002), we get a palindrome (44556665544).

The spelling of 20001355542 in words is "twenty billion, one million, three hundred fifty-five thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 23 27 34 42 46 51 54 63 69 102 119 126 138 153 161 189 207 238 306 322 357 378 391 414 459 483 621 714 782 918 966 1071 1173 1242 1449 2142 2346 2737 2898 3213 3519 4347 5474 6426 7038 8211 8694 10557 16422 21114 24633 49266 73899 135329 147798 270658 405987 811974 947303 1217961 1894606 2300593 2435922 2841909 3112567 3653883 4601186 5683818 6225134 6901779 7307766 8525727 9337701 13803558 16104151 17051454 18675402 20705337 21787969 25577181 28013103 32208302 41410674 43575938 48312453 51154362 52913639 56026206 62116011 65363907 84039309 96624906 105827278 124232022 130727814 144937359 158740917 168078618 196091721 289874718 317481834 370395473 392183442 434812077 476222751 588275163 740790946 869624154 952445502 1111186419 1176550326 1428668253 2222372838 2857336506 3333559257 6667118514 10000677771 20001355542