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251312314422 = 231367420111447
BaseRepresentation
bin1110101000001101100…
…0011001100000110110
3220000200101110100002010
43222003120121200312
513104141423030142
6311241251025050
724104516266221
oct3520330314066
9800611410063
10251312314422
1197643282524
1240857b9b186
131a910c18cc0
14c240c1a5b8
15680d13ce9c
hex3a83619836

251312314422 has 64 divisors (see below), whose sum is σ = 549545762304. Its totient is φ = 76147948800.

The previous prime is 251312314417. The next prime is 251312314439. The reversal of 251312314422 is 224413213152.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 251312314422.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 21948703 + ... + 21960149.

It is an arithmetic number, because the mean of its divisors is an integer number (8586652536).

Almost surely, 2251312314422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251312314422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274772881152).

251312314422 is an abundant number, since it is smaller than the sum of its proper divisors (298233447882).

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

251312314422 is a wasteful number, since it uses less digits than its factorization.

251312314422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15733.

The product of its digits is 11520, while the sum is 30.

Adding to 251312314422 its reverse (224413213152), we get a palindrome (475725527574).

The spelling of 251312314422 in words is "two hundred fifty-one billion, three hundred twelve million, three hundred fourteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 402 871 1742 2613 4201 5226 8402 11447 12603 22894 25206 34341 54613 68682 109226 148811 163839 281467 297622 327678 446433 562934 766949 844401 892866 1533898 1688802 2300847 3659071 4601694 7318142 9970337 10977213 19940674 21954426 29911011 48088847 59822022 96177694 144266541 288533082 625155011 1250310022 1875465033 3221952749 3750930066 6443905498 9665858247 19331716494 41885385737 83770771474 125656157211 251312314422