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10002202112 = 2978233391
BaseRepresentation
bin10010101000010110…
…10111111000000000
3221211001220111212002
421110023113320000
5130441030431422
64332301523132
7502602213050
oct112413277000
927731814762
1010002202112
114272a89541
121b318734a8
13c352ab8b6
146ac577560
153d8195692
hex2542d7e00

10002202112 has 80 divisors (see below), whose sum is σ = 22874345472. Its totient is φ = 4280186880.

The previous prime is 10002202061. The next prime is 10002202123. The reversal of 10002202112 is 21120220001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10002202093 and 10002202102.

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, 2947937 + ... + 2951327.

Almost surely, 210002202112 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 10002202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11437172736).

10002202112 is an abundant number, since it is smaller than the sum of its proper divisors (12872143360).

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

10002202112 is an frugal number, since it uses more digits than its factorization.

10002202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10002202112 its reverse (21120220001), we get a palindrome (31122422113).

The spelling of 10002202112 in words is "ten billion, two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 823 896 1646 1792 3292 3391 3584 5761 6584 6782 11522 13168 13564 23044 23737 26336 27128 46088 47474 52672 54256 92176 94948 105344 108512 184352 189896 210688 217024 368704 379792 421376 434048 737408 759584 868096 1474816 1519168 1736192 2790793 2949632 3038336 5581586 6076672 11163172 12153344 19535551 22326344 39071102 44652688 78142204 89305376 156284408 178610752 312568816 357221504 625137632 714443008 1250275264 1428886016 2500550528 5001101056 10002202112