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12002010002100 = 22325213335566669
BaseRepresentation
bin1010111010100110111110…
…0010101111001010110100
31120111101021201020210022200
42232221233202233022310
53033120104030031400
641305351451224500
72346054665522646
oct256515742571264
946441251223280
1012002010002100
113908029833168
12141a0a0a48130
13690a27c59741
142d6c8691c896
1515c2ee60bb00
hexaea6f8af2b4

12002010002100 has 54 divisors (see below), whose sum is σ = 37619633576070. Its totient is φ = 3200536000320.

The previous prime is 12002010002083. The next prime is 12002010002123. The reversal of 12002010002100 is 120001020021.

It can be written as a sum of positive squares in 3 ways, for example, as 30230081424 + 11971779920676 = 173868^2 + 3460026^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6667782435 + ... + 6667784234.

Almost surely, 212002010002100 is an apocalyptic number.

12002010002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002010002100 is an abundant number, since it is smaller than the sum of its proper divisors (25617623573970).

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

12002010002100 is a wasteful number, since it uses less digits than its factorization.

12002010002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13335566689 (or 13335566679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12002010002100 its reverse (120001020021), we get a palindrome (12122011022121).

The spelling of 12002010002100 in words is "twelve trillion, two billion, ten million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13335566669 26671133338 40006700007 53342266676 66677833345 80013400014 120020100021 133355666690 160026800028 200033500035 240040200042 266711333380 333389166725 400067000070 480080400084 600100500105 666778333450 800134000140 1000167500175 1200201000210 1333556666900 2000335000350 2400402000420 3000502500525 4000670000700 6001005001050 12002010002100