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1202100112 = 24294575669
BaseRepresentation
bin100011110100110…
…1001011110010000
310002202222000100101
41013221221132100
54430214200422
6315141102144
741534453023
oct10751513620
93082860311
101202100112
11567610674
122966b7954
1316207b355
14b59191ba
1570802c27
hex47a69790

1202100112 has 40 divisors (see below), whose sum is σ = 2415079800. Its totient is φ = 578952192.

The previous prime is 1202100089. The next prime is 1202100181. The reversal of 1202100112 is 2110012021.

It can be written as a sum of positive squares in 4 ways, for example, as 249513616 + 952586496 = 15796^2 + 30864^2 .

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, 209214 + ... + 214882.

It is an arithmetic number, because the mean of its divisors is an integer number (60376995).

Almost surely, 21202100112 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 1202100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207539900).

1202100112 is an abundant number, since it is smaller than the sum of its proper divisors (1212979688).

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

1202100112 is a wasteful number, since it uses less digits than its factorization.

1202100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6163 (or 6157 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1202100112 is about 34671.3154062548. The cubic root of 1202100112 is about 1063.2781251220.

Adding to 1202100112 its reverse (2110012021), we get a palindrome (3312112133).

The spelling of 1202100112 in words is "one billion, two hundred two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 457 464 914 1828 3656 5669 7312 11338 13253 22676 26506 45352 53012 90704 106024 164401 212048 328802 657604 1315208 2590733 2630416 5181466 10362932 20725864 41451728 75131257 150262514 300525028 601050056 1202100112