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1112122201060 = 225132400182237
BaseRepresentation
bin10000001011101111101…
…001100001001111100100
310221022120201010101102101
4100023233221201033210
5121210111240413220
62210522450221444
7143230265510413
oct20135751411744
93838521111371
101112122201060
11399714a98082
1215b653584884
1380b46357800
143bb8141547a
151ddded0e30a
hex102efa613e4

1112122201060 has 72 divisors (see below), whose sum is σ = 2529589234536. Its totient is φ = 410522112000.

The previous prime is 1112122201033. The next prime is 1112122201061. The reversal of 1112122201060 is 601022212111.

It can be written as a sum of positive squares in 12 ways, for example, as 602017706404 + 510104494656 = 775898^2 + 714216^2 .

It is not an unprimeable number, because it can be changed into a prime (1112122201061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13482262 + ... + 13564498.

It is an arithmetic number, because the mean of its divisors is an integer number (35133183813).

Almost surely, 21112122201060 is an apocalyptic number.

1112122201060 is a gapful number since it is divisible by the number (10) 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 1112122201060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264794617268).

1112122201060 is an abundant number, since it is smaller than the sum of its proper divisors (1417467033476).

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

1112122201060 is a wasteful number, since it uses less digits than its factorization.

1112122201060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86273 (or 86258 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 1112122201060 its reverse (601022212111), we get a palindrome (1713144413171).

The spelling of 1112122201060 in words is "one trillion, one hundred twelve billion, one hundred twenty-two million, two hundred one thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 4001 8002 16004 20005 40010 52013 80020 82237 104026 164474 208052 260065 328948 411185 520130 676169 822370 1040260 1069081 1352338 1644740 2138162 2704676 3380845 4276324 5345405 6761690 10690810 13523380 13898053 21381620 27796106 55592212 69490265 138980530 277961060 329030237 658060474 1316120948 1645151185 3290302370 4277393081 6580604740 8554786162 17109572324 21386965405 42773930810 55606110053 85547861620 111212220106 222424440212 278030550265 556061100530 1112122201060