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112002012032 = 2710778710391
BaseRepresentation
bin110100001001111010…
…1110001001110000000
3101201002121112201120212
41220103311301032000
53313340003341112
6123241503453252
711043341252141
oct1502365611600
9351077481525
10112002012032
1143555241409
12198592b7228
13a73c1ca001
1455c7043ac8
152da7c56522
hex1a13d71380

112002012032 has 64 divisors (see below), whose sum is σ = 225522195840. Its totient is φ = 55401807360.

The previous prime is 112002012013. The next prime is 112002012047. The reversal of 112002012032 is 230210200211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 112002011998 and 112002012016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10773557 + ... + 10783947.

It is an arithmetic number, because the mean of its divisors is an integer number (3523784310).

Almost surely, 2112002012032 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 112002012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112761097920).

112002012032 is an abundant number, since it is smaller than the sum of its proper divisors (113520183808).

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

112002012032 is a wasteful number, since it uses less digits than its factorization.

112002012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11299 (or 11287 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 112002012032 its reverse (230210200211), we get a palindrome (342212212243).

The spelling of 112002012032 in words is "one hundred twelve billion, two million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 787 856 1574 1712 3148 3424 6296 6848 10391 12592 13696 20782 25184 41564 50368 83128 84209 100736 166256 168418 332512 336836 665024 673672 1111837 1330048 1347344 2223674 2694688 4447348 5389376 8177717 8894696 10778752 16355434 17789392 32710868 35578784 65421736 71157568 130843472 142315136 261686944 523373888 875015719 1046747776 1750031438 3500062876 7000125752 14000251504 28000503008 56001006016 112002012032