Search a number
-
+
100232100030 = 235101241317433
BaseRepresentation
bin101110101011001001…
…1000111100010111110
3100120201100101020122010
41131112103013202332
53120233404200110
6114013533432050
710145562535656
oct1352623074276
9316640336563
10100232100030
1139565453307
121751363b626
1395b492583a
144bcbbdb366
1529197d5020
hex17564c78be

100232100030 has 128 divisors (see below), whose sum is σ = 245281550976. Its totient is φ = 26210304000.

The previous prime is 100232099959. The next prime is 100232100107. The reversal of 100232100030 is 30001232001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100232099979 and 100232100015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231482694 + ... + 231483126.

It is an arithmetic number, because the mean of its divisors is an integer number (1916262117).

Almost surely, 2100232100030 is an apocalyptic number.

100232100030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100232100030 is an abundant number, since it is smaller than the sum of its proper divisors (145049450946).

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

100232100030 is a wasteful number, since it uses less digits than its factorization.

100232100030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100232100030 its reverse (30001232001), we get a palindrome (130233332031).

The spelling of 100232100030 in words is "one hundred billion, two hundred thirty-two million, one hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 101 202 241 303 317 433 482 505 606 634 723 866 951 1010 1205 1299 1446 1515 1585 1902 2165 2410 2598 3030 3170 3615 4330 4755 6495 7230 9510 12990 24341 32017 43733 48682 64034 73023 76397 87466 96051 104353 121705 131199 137261 146046 152794 160085 192102 208706 218665 229191 243410 262398 274522 313059 320170 365115 381985 411783 437330 458382 480255 521765 626118 655995 686305 730230 763970 823566 960510 1043530 1145955 1311990 1372610 1565295 2058915 2291910 3130590 4117830 7716097 10539653 13863361 15432194 21079306 23148291 27726722 31618959 33079901 38580485 41590083 46296582 52698265 63237918 66159802 69316805 77160970 83180166 99239703 105396530 115741455 138633610 158094795 165399505 198479406 207950415 231482910 316189590 330799010 415900830 496198515 992397030 3341070001 6682140002 10023210003 16705350005 20046420006 33410700010 50116050015 100232100030