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10319228136 = 2332740151059
BaseRepresentation
bin10011001110001001…
…01110110011101000
3222122011110002210200
421213010232303220
5132113210300021
64423544512200
7513501664140
oct114704566350
928564402720
1010319228136
114415a31918
121bbba7b660
13c85b8b269
146dc6dd920
15405e19126
hex26712ece8

10319228136 has 96 divisors (see below), whose sum is σ = 32020747200. Its totient is φ = 2940940800.

The previous prime is 10319228119. The next prime is 10319228203. The reversal of 10319228136 is 63182291301.

10319228136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103192281363 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10319228136.

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 23 ways as a sum of consecutive naturals, for example, 176575 + ... + 227633.

It is an arithmetic number, because the mean of its divisors is an integer number (333549450).

Almost surely, 210319228136 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 10319228136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16010373600).

10319228136 is an abundant number, since it is smaller than the sum of its proper divisors (21701519064).

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

10319228136 is a wasteful number, since it uses less digits than its factorization.

10319228136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51479 (or 51472 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

It can be divided in two parts, 103192 and 28136, that added together give a triangular number (131328 = T512).

The spelling of 10319228136 in words is "ten billion, three hundred nineteen million, two hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 401 504 802 1203 1604 2406 2807 3208 3609 4812 5614 7218 8421 9624 11228 14436 16842 22456 25263 28872 33684 50526 51059 67368 101052 102118 153177 202104 204236 306354 357413 408472 459531 612708 714826 919062 1072239 1225416 1429652 1838124 2144478 2859304 3216717 3676248 4288956 6433434 8577912 12866868 20474659 25733736 40949318 61423977 81898636 122847954 143322613 163797272 184271931 245695908 286645226 368543862 429967839 491391816 573290452 737087724 859935678 1146580904 1289903517 1474175448 1719871356 2579807034 3439742712 5159614068 10319228136