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2000002012100 = 2252434767147703
BaseRepresentation
bin11101000110101001011…
…010001101001111000100
321002012100120122002001022
4131012221122031033010
5230232001003341400
64130442132050312
7264331625415161
oct35065132151704
97065316562038
102000002012100
11701217aa5584
12283744763998
131167a3aba171
146cb2cc55068
1537058278b85
hex1d1a968d3c4

2000002012100 has 144 divisors (see below), whose sum is σ = 4603146713088. Its totient is φ = 753351096960.

The previous prime is 2000002012087. The next prime is 2000002012157. The reversal of 2000002012100 is 12102000002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13466849 + ... + 13614551.

Almost surely, 22000002012100 is an apocalyptic number.

2000002012100 is a gapful number since it is divisible by the number (20) 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 2000002012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301573356544).

2000002012100 is an abundant number, since it is smaller than the sum of its proper divisors (2603144700988).

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

2000002012100 is a wasteful number, since it uses less digits than its factorization.

2000002012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147874 (or 147867 counting only the distinct ones).

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

Adding to 2000002012100 its reverse (12102000002), we get a palindrome (2012104012102).

The spelling of 2000002012100 in words is "two trillion, two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 47 50 67 86 94 100 134 172 188 215 235 268 335 430 470 670 860 940 1075 1175 1340 1675 2021 2150 2350 2881 3149 3350 4042 4300 4700 5762 6298 6700 8084 10105 11524 12596 14405 15745 20210 28810 31490 40420 50525 57620 62980 72025 78725 101050 135407 144050 147703 157450 202100 270814 288100 295406 314900 541628 590812 677035 738515 1354070 1477030 2708140 2954060 3385175 3692575 6351229 6770350 6942041 7385150 9896101 12702458 13540700 13884082 14770300 19792202 25404916 27768164 31756145 34710205 39584404 49480505 63512290 69420410 98961010 127024580 138840820 158780725 173551025 197922020 247402525 298507763 317561450 347102050 425532343 465116747 494805050 597015526 635122900 694204100 851064686 930233494 989610100 1194031052 1492538815 1702129372 1860466988 2127661715 2325583735 2985077630 4255323430 4651167470 5970155260 7462694075 8510646860 9302334940 10638308575 11627918675 14925388150 20000020121 21276617150 23255837350 29850776300 40000040242 42553234300 46511674700 80000080484 100000100605 200000201210 400000402420 500000503025 1000001006050 2000002012100