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201041123280 = 24354331162639
BaseRepresentation
bin1011101100111011111…
…1000001011111010000
3201012220220100020010220
42323032333001133100
511243213011421110
6232205040553040
720344662231564
oct2731677013720
9635826306126
10201041123280
1178296522568
1232b68322780
1315c5bc2725a
149a324956a4
155369a7a370
hex2ecefc17d0

201041123280 has 160 divisors (see below), whose sum is σ = 639781908480. Its totient is φ = 52194992640.

The previous prime is 201041123263. The next prime is 201041123281. The reversal of 201041123280 is 82321140102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201041123280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201041123281) 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, 3178201 + ... + 3240839.

It is an arithmetic number, because the mean of its divisors is an integer number (3998636928).

Almost surely, 2201041123280 is an apocalyptic number.

201041123280 is a gapful number since it is divisible by the number (20) 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 201041123280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319890954240).

201041123280 is an abundant number, since it is smaller than the sum of its proper divisors (438740785200).

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

201041123280 is a wasteful number, since it uses less digits than its factorization.

201041123280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63009 (or 63003 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 201041123280 its reverse (82321140102), we get a palindrome (283362263382).

The spelling of 201041123280 in words is "two hundred one billion, forty-one million, one hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 311 344 430 516 622 645 688 860 933 1032 1244 1290 1555 1720 1866 2064 2488 2580 3110 3440 3732 4665 4976 5160 6220 7464 9330 10320 12440 13373 14928 18660 24880 26746 37320 40119 53492 62639 66865 74640 80238 106984 125278 133730 160476 187917 200595 213968 250556 267460 313195 320952 375834 401190 501112 534920 626390 641904 751668 802380 939585 1002224 1069840 1252780 1503336 1604760 1879170 2505560 2693477 3006672 3209520 3758340 5011120 5386954 7516680 8080431 10773908 13467385 15033360 16160862 19480729 21547816 26934770 32321724 38961458 40402155 43095632 53869540 58442187 64643448 77922916 80804310 97403645 107739080 116884374 129286896 155845832 161608620 194807290 215478160 233768748 292210935 311691664 323217240 389614580 467537496 584421870 646434480 779229160 837671347 935074992 1168843740 1558458320 1675342694 2337687480 2513014041 3350685388 4188356735 4675374960 5026028082 6701370776 8376713470 10052056164 12565070205 13402741552 16753426940 20104112328 25130140410 33506853880 40208224656 50260280820 67013707760 100520561640 201041123280