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10332214134 = 23111722918679
BaseRepresentation
bin10011001111101100…
…10001001101110110
3222200001212212020120
421213312101031312
5132130021323014
64425131112410
7514020241164
oct114766211566
928601785216
1010332214134
1144222a1450
1220042a2706
13c88786c98
14700320234
15407131ba9
hex267d91376

10332214134 has 96 divisors (see below), whose sum is σ = 24774163200. Its totient is φ = 2845032960.

The previous prime is 10332214129. The next prime is 10332214141. The reversal of 10332214134 is 43141223301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 543807 + ... + 562485.

It is an arithmetic number, because the mean of its divisors is an integer number (258064200).

Almost surely, 210332214134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10332214134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12387081600).

10332214134 is an abundant number, since it is smaller than the sum of its proper divisors (14441949066).

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

10332214134 is a wasteful number, since it uses less digits than its factorization.

10332214134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18758 (or 18741 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10332214134 its reverse (43141223301), we get a palindrome (53473437435).

The spelling of 10332214134 in words is "ten billion, three hundred thirty-two million, two hundred fourteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 29 33 34 51 58 66 87 102 174 187 289 319 374 493 561 578 638 867 957 986 1122 1479 1734 1914 2958 3179 5423 6358 8381 9537 10846 16269 16762 18679 19074 25143 32538 37358 50286 56037 92191 112074 184382 205469 276573 317543 410938 541691 553146 616407 635086 952629 1083382 1232814 1625073 1905258 3250146 3492973 5398231 5958601 6985946 9208747 10478919 10796462 11917202 16194693 17875803 18417494 20957838 27626241 32389386 35751606 55252482 59380541 101296217 118761082 156548699 178141623 202592434 303888651 313097398 356283246 469646097 607777302 939292194 1722035689 3444071378 5166107067 10332214134