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421312134223300 = 2252181196611183913
BaseRepresentation
bin101111111001011100110000…
…0000110011001010111000100
32001020202001021000202111010111
41133302321200012121113010
5420210234222330121200
64052020042243202404
7154512540304563145
oct13762714006312704
92036661230674114
10421312134223300
11112274522203441
123b305145376404
13151117438275b8
14760788a80bacc
1533a94673200ba
hex17f2e601995c4

421312134223300 has 72 divisors (see below), whose sum is σ = 919345955483592. Its totient is φ = 167585111424000.

The previous prime is 421312134223271. The next prime is 421312134223363. The reversal of 421312134223300 is 3322431213124.

It can be written as a sum of positive squares in 12 ways, for example, as 85014632834244 + 336297501389056 = 9220338^2 + 18338416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355272144 + ... + 356456056.

It is an arithmetic number, because the mean of its divisors is an integer number (12768693826161).

Almost surely, 2421312134223300 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 421312134223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459672977741796).

421312134223300 is an abundant number, since it is smaller than the sum of its proper divisors (498033821260292).

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

421312134223300 is a wasteful number, since it uses less digits than its factorization.

421312134223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203769 (or 1203762 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 421312134223300 its reverse (3322431213124), we get a palindrome (424634565436424).

The spelling of 421312134223300 in words is "four hundred twenty-one trillion, three hundred twelve billion, one hundred thirty-four million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 18100 19661 39322 78644 98305 196610 393220 491525 983050 1183913 1966100 2367826 3558641 4735652 5919565 7117282 11839130 14234564 17793205 23678260 29597825 35586410 59195650 71172820 88966025 118391300 177932050 214288253 355864100 428576506 857153012 1071441265 2142882530 4285765060 5357206325 10714412650 21428825300 23276913493 46553826986 93107653972 116384567465 232769134930 465538269860 581922837325 1163845674650 2327691349300 4213121342233 8426242684466 16852485368932 21065606711165 42131213422330 84262426844660 105328033555825 210656067111650 421312134223300