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10112220200100 = 22352173771939771
BaseRepresentation
bin1001001100100110111101…
…0010101111110010100100
31022210201102000100002011210
42103021233102233302210
52311134311332400400
633301253445231420
72062404146325324
oct223115722576244
938721360302153
1010112220200100
113249628750347
121173996102570
1358476960a2a5
1426d61112b284
15128096de7950
hex9326f4afca4

10112220200100 has 72 divisors (see below), whose sum is σ = 29259722584288. Its totient is φ = 2696435481600.

The previous prime is 10112220200099. The next prime is 10112220200107. The reversal of 10112220200100 is 100202221101.

It is a super-3 number, since 3×101122202001003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10112220200107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4243215 + ... + 6182985.

Almost surely, 210112220200100 is an apocalyptic number.

10112220200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112220200100 is an abundant number, since it is smaller than the sum of its proper divisors (19147502384188).

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

10112220200100 is a wasteful number, since it uses less digits than its factorization.

10112220200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957165 (or 1957158 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10112220200100 its reverse (100202221101), we get a palindrome (10212422421201).

The spelling of 10112220200100 in words is "ten trillion, one hundred twelve billion, two hundred twenty million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 17377 34754 52131 69508 86885 104262 173770 208524 260655 347540 434425 521310 868850 1042620 1303275 1737700 1939771 2606550 3879542 5213100 5819313 7759084 9698855 11638626 19397710 23277252 29096565 38795420 48494275 58193130 96988550 116386260 145482825 193977100 290965650 581931300 33707400667 67414801334 101122202001 134829602668 168537003335 202244404002 337074006670 404488808004 505611010005 674148013340 842685016675 1011222020010 1685370033350 2022444040020 2528055050025 3370740066700 5056110100050 10112220200100