Search a number
-
+
10553233140 = 22325174497681
BaseRepresentation
bin10011101010000010…
…11000111011110100
31000020110202210022200
421311001120323310
5133103111430030
64503104224500
7522343000362
oct116501307364
930213683280
1010553233140
11452603028a
12206630b130
13cc24c0468
14721814632
1541b73dd60
hex275058ef4

10553233140 has 144 divisors (see below), whose sum is σ = 33974413200. Its totient is φ = 2642411520.

The previous prime is 10553233127. The next prime is 10553233151. The reversal of 10553233140 is 4133235501.

10553233140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 578017764 + 9975215376 = 24042^2 + 99876^2 .

It is a super-2 number, since 2×105532331402 (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1370100 + ... + 1377780.

It is an arithmetic number, because the mean of its divisors is an integer number (235933425).

Almost surely, 210553233140 is an apocalyptic number.

10553233140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10553233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16987206600).

10553233140 is an abundant number, since it is smaller than the sum of its proper divisors (23421180060).

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

10553233140 is a wasteful number, since it uses less digits than its factorization.

10553233140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8162 (or 8157 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10553233140 its reverse (4133235501), we get a palindrome (14686468641).

The spelling of 10553233140 in words is "ten billion, five hundred fifty-three million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 449 510 612 765 898 1020 1347 1530 1796 2245 2694 3060 4041 4490 5388 6735 7633 7681 8082 8980 13470 15266 15362 16164 20205 22899 23043 26940 30532 30724 38165 38405 40410 45798 46086 68697 69129 76330 76810 80820 91596 92172 114495 115215 130577 137394 138258 152660 153620 228990 230430 261154 274788 276516 343485 345645 391731 457980 460860 522308 652885 686970 691290 783462 1175193 1305770 1373940 1382580 1566924 1958655 2350386 2611540 3448769 3917310 4700772 5875965 6897538 7834620 10346307 11751930 13795076 17243845 20692614 23503860 31038921 34487690 41385228 51731535 58629073 62077842 68975380 103463070 117258146 124155684 155194605 175887219 206926140 234516292 293145365 310389210 351774438 527661657 586290730 620778420 703548876 879436095 1055323314 1172581460 1758872190 2110646628 2638308285 3517744380 5276616570 10553233140