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400113104022 = 2322313716974157
BaseRepresentation
bin1011101001010001001…
…10010111010010010110
31102020202120101122112200
411310220212113102112
523023412423312042
6503450500225330
740623114161232
oct5645046272226
91366676348480
10400113104022
111447614640a5
126566509b246
132b965bbc4b8
14155192055c2
15a61b7dac4c
hex5d28997496

400113104022 has 96 divisors (see below), whose sum is σ = 911962763712. Its totient is φ = 126536036352.

The previous prime is 400113104021. The next prime is 400113104033. The reversal of 400113104022 is 220401311004.

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 = 400113103986 and 400113104004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400113104021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96248368 + ... + 96252524.

It is an arithmetic number, because the mean of its divisors is an integer number (9499612122).

Almost surely, 2400113104022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400113104022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455981381856).

400113104022 is an abundant number, since it is smaller than the sum of its proper divisors (511849659690).

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

400113104022 is a wasteful number, since it uses less digits than its factorization.

400113104022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6022 (or 6019 counting only the distinct ones).

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

Adding to 400113104022 its reverse (220401311004), we get a palindrome (620514415026).

The spelling of 400113104022 in words is "four hundred billion, one hundred thirteen million, one hundred four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 137 138 207 274 411 414 822 1233 1697 2466 3151 3394 4157 5091 6302 8314 9453 10182 12471 15273 18906 24942 28359 30546 37413 39031 56718 74826 78062 95611 117093 191222 232489 234186 286833 351279 464978 569509 573666 697467 702558 860499 1139018 1394934 1708527 1720998 2092401 3417054 4184802 5125581 5347247 7054429 10251162 10694494 13098707 14108858 16041741 21163287 26197414 32083482 39296121 42326574 48125223 63489861 78592242 96250446 117888363 126979722 162251867 235776726 324503734 486755601 966456773 973511202 1460266803 1932913546 2899370319 2920533606 5798740638 8698110957 17396221914 22228505779 44457011558 66685517337 133371034674 200056552011 400113104022