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111110020112 = 247131718792389
BaseRepresentation
bin110011101111010101…
…1000101110000010000
3101121210110002211201002
41213132223011300100
53310023131120422
6123013201201132
711012260405460
oct1473653056020
9347713084632
10111110020112
1143137789703
121964a6301a8
13a629478640
1455407adba0
152d547ac692
hex19deac5c10

111110020112 has 160 divisors (see below), whose sum is σ = 280807027200. Its totient is φ = 41330663424.

The previous prime is 111110020111. The next prime is 111110020199. The reversal of 111110020112 is 211020011111.

It is a junction number, because it is equal to n+sod(n) for n = 111110020093 and 111110020102.

It is not an unprimeable number, because it can be changed into a prime (111110020111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46507814 + ... + 46510202.

It is an arithmetic number, because the mean of its divisors is an integer number (1755043920).

Almost surely, 2111110020112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111110020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140403513600).

111110020112 is an abundant number, since it is smaller than the sum of its proper divisors (169697007088).

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

111110020112 is a wasteful number, since it uses less digits than its factorization.

111110020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111110020112 its reverse (211020011111), we get a palindrome (322130031223).

Subtracting 111110020112 from its reverse (211020011111), we obtain a palindrome (99909990999).

The spelling of 111110020112 in words is "one hundred eleven billion, one hundred ten million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 182 208 221 238 272 364 442 476 728 884 952 1456 1547 1768 1879 1904 2389 3094 3536 3758 4778 6188 7516 9556 12376 13153 15032 16723 19112 24427 24752 26306 30064 31057 31943 33446 38224 40613 48854 52612 62114 63886 66892 81226 97708 105224 124228 127772 133784 162452 170989 195416 210448 217399 223601 248456 255544 267568 284291 324904 341978 390832 415259 434798 447202 496912 511088 527969 568582 649808 683956 830518 869596 894404 1055938 1137164 1367912 1661036 1739192 1788808 2111876 2274328 2735824 2906813 3322072 3478384 3577616 3695783 4223752 4488931 4548656 5813626 6644144 7391566 8447504 8977862 11627252 14783132 17955724 23254504 29566264 31422517 35911448 46509008 58356103 59132528 62845034 71822896 76311827 116712206 125690068 152623654 233424412 251380136 305247308 408492721 466848824 502760272 534182789 610494616 816985442 933697648 992053751 1068365578 1220989232 1633970884 1984107502 2136731156 3267941768 3968215004 4273462312 6535883536 6944376257 7936430008 8546924624 13888752514 15872860016 27777505028 55555010056 111110020112