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10132223244 = 223111317220431
BaseRepresentation
bin10010110111110110…
…10111010100001100
3222011010120021022120
421123323113110030
5131222322120434
64353224412540
7506041322313
oct113373272414
928133507276
1010132223244
11432a415320
121b69317150
13c56203b90
146c194127a
153e47ca349
hex25bed750c

10132223244 has 144 divisors (see below), whose sum is σ = 29506423296. Its totient is φ = 2667340800.

The previous prime is 10132223243. The next prime is 10132223279. The reversal of 10132223244 is 44232223101.

It is a happy number.

It is a super-3 number, since 3×101322232443 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10132223243) 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, 485709 + ... + 506139.

Almost surely, 210132223244 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 10132223244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14753211648).

10132223244 is an abundant number, since it is smaller than the sum of its proper divisors (19374200052).

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

10132223244 is a wasteful number, since it uses less digits than its factorization.

10132223244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20496 (or 20477 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10132223244 its reverse (44232223101), we get a palindrome (54364446345).

The spelling of 10132223244 in words is "ten billion, one hundred thirty-two million, two hundred twenty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 132 143 156 187 204 221 286 289 374 429 442 561 572 578 663 748 858 867 884 1122 1156 1326 1716 1734 2244 2431 2652 3179 3468 3757 4862 6358 7293 7514 9537 9724 11271 12716 14586 15028 19074 20431 22542 29172 38148 40862 41327 45084 61293 81724 82654 122586 123981 165308 224741 245172 247962 265603 347327 449482 495924 531206 674223 694654 796809 898964 1041981 1062412 1348446 1389308 1593618 2083962 2696892 2921633 3187236 3820597 4167924 4515251 5843266 5904559 7641194 8764899 9030502 11461791 11686532 11809118 13545753 15282388 17529798 17713677 18061004 22923582 23618236 27091506 35059596 35427354 45847164 49667761 54183012 64950149 70854708 76759267 99335522 129900298 149003283 153518534 194850447 198671044 230277801 259800596 298006566 307037068 389700894 460555602 596013132 779401788 844351937 921111204 1688703874 2533055811 3377407748 5066111622 10132223244