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103022310132 = 2235783918047
BaseRepresentation
bin101111111110010011…
…0111011001011110100
3100211220210122121100000
41133330212323023310
53141442202411012
6115154445351300
710304663121210
oct1377446731364
9324823577300
10103022310132
113a767454475
1217b71b68530
13993aa05a31
144db45d3940
152a2e738ddc
hex17fc9bb2f4

103022310132 has 144 divisors (see below), whose sum is σ = 309027962880. Its totient is φ = 29398233312.

The previous prime is 103022310119. The next prime is 103022310151. The reversal of 103022310132 is 231013220301.

103022310132 is a `hidden beast` number, since 1 + 0 + 302 + 231 + 0 + 132 = 666.

It is a super-3 number, since 3×1030223101323 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5699533 + ... + 5717579.

It is an arithmetic number, because the mean of its divisors is an integer number (2146027520).

Almost surely, 2103022310132 is an apocalyptic number.

103022310132 is a gapful number since it is divisible by the number (12) 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 103022310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154513981440).

103022310132 is an abundant number, since it is smaller than the sum of its proper divisors (206005652748).

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

103022310132 is a wasteful number, since it uses less digits than its factorization.

103022310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18912 (or 18898 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103022310132 its reverse (231013220301), we get a palindrome (334035530433).

The spelling of 103022310132 in words is "one hundred three billion, twenty-two million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 839 972 1134 1678 1701 2268 2517 3356 3402 5034 5873 6804 7551 10068 11746 15102 17619 18047 22653 23492 30204 35238 36094 45306 52857 54141 67959 70476 72188 90612 105714 108282 126329 135918 158571 162423 203877 211428 216564 252658 271836 317142 324846 378987 407754 475713 487269 505316 634284 649692 757974 815508 951426 974538 1136961 1427139 1461807 1515948 1902852 1949076 2273922 2854278 2923614 3410883 4385421 4547844 5708556 5847228 6821766 8770842 10232649 13643532 15141433 17541684 20465298 30282866 30697947 40930596 45424299 60565732 61395894 90848598 105990031 122791788 136272897 181697196 211980062 272545794 317970093 408818691 423960124 545091588 635940186 817637382 953910279 1226456073 1271880372 1635274764 1907820558 2452912146 2861730837 3679368219 3815641116 4905824292 5723461674 7358736438 8585192511 11446923348 14717472876 17170385022 25755577533 34340770044 51511155066 103022310132