Search a number
-
+
40003013100 = 223526110872011
BaseRepresentation
bin100101010000010111…
…011000100111101100
310211020212201121200210
4211100113120213230
51123411232404400
630213243222420
72614212000231
oct452027304754
9124225647623
1040003013100
1115a68726906
127904b17a10
133a06898b6b
141d16b53788
151091dce950
hex9505d89ec

40003013100 has 144 divisors (see below), whose sum is σ = 117806237696. Its totient is φ = 10477728000.

The previous prime is 40003013093. The next prime is 40003013147. The reversal of 40003013100 is 131030004.

It is a super-2 number, since 2×400030131002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19891095 + ... + 19893105.

Almost surely, 240003013100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40003013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58903118848).

40003013100 is an abundant number, since it is smaller than the sum of its proper divisors (77803224596).

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

40003013100 is a wasteful number, since it uses less digits than its factorization.

40003013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 40003013100 its reverse (131030004), we get a palindrome (40134043104).

The spelling of 40003013100 in words is "forty billion, three million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1087 1220 1525 1830 2011 2174 3050 3261 3660 4022 4348 4575 5435 6033 6100 6522 8044 9150 10055 10870 12066 13044 16305 18300 20110 21740 24132 27175 30165 32610 40220 50275 54350 60330 65220 66307 81525 100550 108700 120660 122671 132614 150825 163050 198921 201100 245342 265228 301650 326100 331535 368013 397842 490684 603300 613355 663070 736026 795684 994605 1226710 1326140 1472052 1657675 1840065 1989210 2185957 2453420 3066775 3315350 3680130 3978420 4371914 4973025 6133550 6557871 6630700 7360260 8743828 9200325 9946050 10929785 12267100 13115742 18400650 19892100 21859570 26231484 32789355 36801300 43719140 54648925 65578710 109297850 131157420 133343377 163946775 218595700 266686754 327893550 400030131 533373508 655787100 666716885 800060262 1333433770 1600120524 2000150655 2666867540 3333584425 4000301310 6667168850 8000602620 10000753275 13334337700 20001506550 40003013100