Search a number
-
+
100223115120 = 24325178188163
BaseRepresentation
bin101110101010111000…
…0110101111101110000
3100120200201110202122200
41131111300311331300
53120224104140440
6114013013103200
710145423264622
oct1352560657560
9316621422580
10100223115120
1139560376867
1217510627b00
1395b2acb01b
144bca93cc12
152918b0cc30
hex1755c35f70

100223115120 has 120 divisors (see below), whose sum is σ = 356381649936. Its totient is φ = 25154033664.

The previous prime is 100223115101. The next prime is 100223115151. The reversal of 100223115120 is 21511322001.

100223115120 is a `hidden beast` number, since 100 + 22 + 31 + 1 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1002231151202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100223115093 and 100223115102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4081842 + ... + 4106321.

Almost surely, 2100223115120 is an apocalyptic number.

100223115120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100223115120 is an abundant number, since it is smaller than the sum of its proper divisors (256158534816).

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

100223115120 is a wasteful number, since it uses less digits than its factorization.

100223115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8188199 (or 8188190 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 100223115120 its reverse (21511322001), we get a palindrome (121734437121).

The spelling of 100223115120 in words is "one hundred billion, two hundred twenty-three million, one hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 8188163 16376326 24564489 32752652 40940815 49128978 65505304 73693467 81881630 98257956 122822445 131010608 139198771 147386934 163763260 196515912 245644890 278397542 294773868 327526520 368467335 393031824 417596313 491289780 556795084 589547736 655053040 695993855 736934670 835192626 982579560 1113590168 1179095472 1252788939 1391987710 1473869340 1670385252 1965159120 2087981565 2227180336 2505577878 2783975420 2947738680 3340770504 4175963130 5011155756 5567950840 5895477360 6263944695 6681541008 8351926260 10022311512 11135901680 12527889390 16703852520 20044623024 25055778780 33407705040 50111557560 100223115120