Search a number
-
+
203013542040 = 233510918778269
BaseRepresentation
bin1011110100010010001…
…1001101000010011000
3201102000100210111000120
42331010203031002120
511311232431321130
6233132500433240
720444602430601
oct2750443150230
9642010714016
10203013542040
1179108940a11
12334189a8820
13161b476554a
149b7c410da8
155432ce0910
hex2f448cd098

203013542040 has 128 divisors (see below), whose sum is σ = 615029976000. Its totient is φ = 53605214208.

The previous prime is 203013542027. The next prime is 203013542041. The reversal of 203013542040 is 40245310302.

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 203013542040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203013542041) 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, 24547026 + ... + 24555294.

Almost surely, 2203013542040 is an apocalyptic number.

203013542040 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 203013542040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307514988000).

203013542040 is an abundant number, since it is smaller than the sum of its proper divisors (412016433960).

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

203013542040 is a wasteful number, since it uses less digits than its factorization.

203013542040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10269 (or 10265 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 203013542040 its reverse (40245310302), we get a palindrome (243258852342).

The spelling of 203013542040 in words is "two hundred three billion, thirteen million, five hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 1877 2180 2616 3270 3754 4360 5631 6540 7508 8269 9385 11262 13080 15016 16538 18770 22524 24807 28155 33076 37540 41345 45048 49614 56310 66152 75080 82690 99228 112620 124035 165380 198456 204593 225240 248070 330760 409186 496140 613779 818372 901321 992280 1022965 1227558 1636744 1802642 2045930 2455116 2703963 3068895 3605284 4091860 4506605 4910232 5407926 6137790 7210568 8183720 9013210 10815852 12275580 13519815 15520913 18026420 21631704 24551160 27039630 31041826 36052840 46562739 54079260 62083652 77604565 93125478 108158520 124167304 155209130 186250956 232813695 310418260 372501912 465627390 620836520 931254780 1691779517 1862509560 3383559034 5075338551 6767118068 8458897585 10150677102 13534236136 16917795170 20301354204 25376692755 33835590340 40602708408 50753385510 67671180680 101506771020 203013542040