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40220012100 = 22352978591609
BaseRepresentation
bin100101011101010011…
…001010111001000100
310211211000001022100210
4211131103022321010
51124332310341400
630250554235420
72622455314332
oct453523127104
9124730038323
1040220012100
111606a16a424
127965725b70
133a3c825638
141d378bcb52
1510a5e95950
hex95d4cae44

40220012100 has 144 divisors (see below), whose sum is σ = 117779614400. Its totient is φ = 10595819520.

The previous prime is 40220012099. The next prime is 40220012221. The reversal of 40220012100 is 121002204.

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, 24996096 + ... + 24997704.

Almost surely, 240220012100 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 40220012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58889807200).

40220012100 is an abundant number, since it is smaller than the sum of its proper divisors (77559602300).

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

40220012100 is a wasteful number, since it uses less digits than its factorization.

40220012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 40220012100 its reverse (121002204), we get a palindrome (40341014304).

The spelling of 40220012100 in words is "forty billion, two hundred twenty million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 859 970 1164 1455 1609 1718 1940 2425 2577 2910 3218 3436 4295 4827 4850 5154 5820 6436 7275 8045 8590 9654 9700 10308 12885 14550 16090 17180 19308 21475 24135 25770 29100 32180 40225 42950 48270 51540 64425 80450 83323 85900 96540 120675 128850 156073 160900 166646 241350 249969 257700 312146 333292 416615 468219 482700 499938 624292 780365 833230 936438 999876 1249845 1382131 1560730 1666460 1872876 2083075 2341095 2499690 2764262 3121460 3901825 4146393 4166150 4682190 4999380 5528524 6249225 6910655 7803650 8292786 8332300 9364380 11705475 12498450 13821310 15607300 16585572 20731965 23410950 24996900 27642620 34553275 41463930 46821900 69106550 82927860 103659825 134066707 138213100 207319650 268133414 402200121 414639300 536266828 670333535 804400242 1340667070 1608800484 2011000605 2681334140 3351667675 4022001210 6703335350 8044002420 10055003025 13406670700 20110006050 40220012100