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112021112112 = 24371330783537
BaseRepresentation
bin110100001010011111…
…0101000010100110000
3101201010221111002222020
41220110332220110300
53313404401041422
6123243425111440
711043662512410
oct1502476502460
9351127432866
10112021112112
1143564aa75a8
1219863788580
13a743156930
1455c97b6640
152da977a95c
hex1a14fa8530

112021112112 has 160 divisors (see below), whose sum is σ = 357334129152. Its totient is φ = 29447442432.

The previous prime is 112021112107. The next prime is 112021112113. The reversal of 112021112112 is 211211120211.

It is a happy number.

112021112112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 112021112091 and 112021112100.

It is not an unprimeable number, because it can be changed into a prime (112021112113) 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, 1299208 + ... + 1382744.

Almost surely, 2112021112112 is an apocalyptic number.

112021112112 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 112021112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178667064576).

112021112112 is an abundant number, since it is smaller than the sum of its proper divisors (245313017040).

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

112021112112 is a wasteful number, since it uses less digits than its factorization.

112021112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83875 (or 83869 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112021112112 its reverse (211211120211), we get a palindrome (323232232323).

The spelling of 112021112112 in words is "one hundred twelve billion, twenty-one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 307 312 336 364 546 614 624 728 921 1092 1228 1456 1842 2149 2184 2456 3684 3991 4298 4368 4912 6447 7368 7982 8596 11973 12894 14736 15964 17192 23946 25788 27937 31928 34384 47892 51576 55874 63856 83537 83811 95784 103152 111748 167074 167622 191568 223496 250611 334148 335244 446992 501222 584759 668296 670488 1002444 1085981 1169518 1336592 1340976 1754277 2004888 2171962 2339036 3257943 3508554 4009776 4343924 4678072 6515886 7017108 7601867 8687848 9356144 13031772 14034216 15203734 17375696 22805601 25645859 26063544 28068432 30407468 45611202 51291718 52127088 60814936 76937577 91222404 102583436 121629872 153875154 179521013 182444808 205166872 307750308 333396167 359042026 364889616 410333744 538563039 615500616 666792334 718084052 1000188501 1077126078 1231001232 1333584668 1436168104 2000377002 2154252156 2333773169 2667169336 2872336208 4000754004 4308504312 4667546338 5334338672 7001319507 8001508008 8617008624 9335092676 14002639014 16003016016 18670185352 28005278028 37340370704 56010556056 112021112112