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100112120023230 = 23257225237899519
BaseRepresentation
bin10110110000110100101011…
…010110100000100010111110
3111010110121212202220211210200
4112300310223112200202332
5101110214110211220410
6552530512323544330
730041601442463400
oct2660645326404276
9433417782824720
10100112120023230
11299983479210a7
12b28a49652b0a6
1343b26bc921863
141aa16497b4b70
15b8922ca873c0
hex5b0d2b5a08be

100112120023230 has 144 divisors (see below), whose sum is σ = 302800419866880. Its totient is φ = 22881838137984.

The previous prime is 100112120023217. The next prime is 100112120023231. The reversal of 100112120023230 is 32320021211001.

100112120023230 is a `hidden beast` number, since 100 + 112 + 1 + 200 + 23 + 230 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112120023231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110845411 + ... + 111744929.

It is an arithmetic number, because the mean of its divisors is an integer number (2102780693520).

Almost surely, 2100112120023230 is an apocalyptic number.

100112120023230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100112120023230 is an abundant number, since it is smaller than the sum of its proper divisors (202688299843650).

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

100112120023230 is a wasteful number, since it uses less digits than its factorization.

100112120023230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924783 (or 924773 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100112120023230 its reverse (32320021211001), we get a palindrome (132432141234231).

The spelling of 100112120023230 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty million, twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 25237 50474 75711 126185 151422 176659 227133 252370 353318 378555 454266 529977 757110 883295 899519 1059954 1135665 1236613 1589931 1766590 1799038 2271330 2473226 2649885 2698557 3179862 3709839 4497595 5299770 5397114 6183065 6296633 7419678 7949655 8095671 8995190 11129517 12366130 12593266 13492785 15899310 16191342 18549195 18889899 22259034 26985570 31483165 37098390 37779798 40478355 44076431 55647585 56669697 62966330 80956710 88152862 94449495 111295170 113339394 132229293 188898990 220382155 264458586 283348485 396687879 440764310 566696970 661146465 793375758 1322292930 1983439395 3966878790 22701161003 45402322006 68103483009 113505805015 136206966018 158908127021 204310449027 227011610030 317816254042 340517415045 408620898054 476724381063 681034830090 794540635105 953448762126 1021552245135 1112356889147 1430173143189 1589081270210 2043104490270 2224713778294 2383621905315 2860346286378 3337070667441 4767243810630 5561784445735 6674141334882 7150865715945 10011212002323 11123568891470 14301731431890 16685353337205 20022424004646 33370706674410 50056060011615 100112120023230