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40221130122 = 23747972017
BaseRepresentation
bin100101011101010111…
…011011110110001010
310211211002011010000000
4211131113123312022
51124333102130442
630251034223430
72622500652015
oct453527336612
9124732133000
1040221130122
111606a863408
127965b84b76
133a3cb274a4
141d37ad037c
1510a6116d4c
hex95d5dbd8a

40221130122 has 128 divisors (see below), whose sum is σ = 93407892480. Its totient is φ = 12980072448.

The previous prime is 40221130121. The next prime is 40221130151. The reversal of 40221130122 is 22103112204.

It is a happy number.

40221130122 is a `hidden beast` number, since 402 + 211 + 30 + 1 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40221130095 and 40221130104.

It is not an unprimeable number, because it can be changed into a prime (40221130121) 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, 19940058 + ... + 19942074.

It is an arithmetic number, because the mean of its divisors is an integer number (729749160).

Almost surely, 240221130122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40221130122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46703946240).

40221130122 is an abundant number, since it is smaller than the sum of its proper divisors (53186762358).

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

40221130122 is an equidigital number, since it uses as much as digits as its factorization.

40221130122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40221130122 its reverse (22103112204), we get a palindrome (62324242326).

The spelling of 40221130122 in words is "forty billion, two hundred twenty-one million, one hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 97 141 162 194 243 282 291 423 486 582 729 846 873 1269 1458 1746 2017 2187 2538 2619 3807 4034 4374 4559 5238 6051 7614 7857 9118 11421 12102 13677 15714 18153 22842 23571 27354 34263 36306 41031 47142 54459 68526 70713 82062 94799 102789 108918 123093 141426 163377 189598 195649 205578 212139 246186 284397 326754 369279 391298 424278 490131 568794 586947 738558 853191 980262 1107837 1173894 1470393 1706382 1760841 2215674 2559573 2940786 3323511 3521682 4411179 5119146 5282523 6647022 7678719 8822358 9195503 9970533 10565046 15357438 15847569 18391006 19941066 23036157 27586509 31695138 46072314 47542707 55173018 69108471 82759527 95085414 138216942 142628121 165519054 207325413 248278581 285256242 414650826 427884363 496557162 744835743 855768726 1489671486 2234507229 4469014458 6703521687 13407043374 20110565061 40221130122