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2100202000988 = 2271389107605879
BaseRepresentation
bin11110100011111101110…
…010110101001001011100
321102202222200120220110212
4132203331302311021130
5233402203203012423
64244453001351552
7304506651313520
oct36437562651134
97382880526425
102100202000988
1173a766306253
1229b0494985b8
13123081b7bb10
1473916693d80
153996ed19578
hex1e8fdcb525c

2100202000988 has 96 divisors (see below), whose sum is σ = 4617096422400. Its totient is φ = 813834717696.

The previous prime is 2100202000951. The next prime is 2100202001021. The reversal of 2100202000988 is 8890002020012.

It is a super-2 number, since 2×21002020009882 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3163433 + ... + 3769311.

It is an arithmetic number, because the mean of its divisors is an integer number (48094754400).

Almost surely, 22100202000988 is an apocalyptic number.

2100202000988 is a gapful number since it is divisible by the number (28) 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 2100202000988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308548211200).

2100202000988 is an abundant number, since it is smaller than the sum of its proper divisors (2516894421412).

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

2100202000988 is a wasteful number, since it uses less digits than its factorization.

2100202000988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606099 (or 606097 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 2100202000988 in words is "two trillion, one hundred billion, two hundred two million, nine hundred eighty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 26 28 52 89 91 107 178 182 214 356 364 428 623 749 1157 1246 1391 1498 2314 2492 2782 2996 4628 5564 8099 9523 9737 16198 19046 19474 32396 38092 38948 66661 123799 133322 247598 266644 495196 605879 866593 1211758 1733186 2423516 3466372 4241153 7876427 8482306 15752854 16964612 31505708 53923231 55134989 64829053 107846462 110269978 129658106 215692924 220539956 259316212 377462617 453803371 701002003 754925234 842777689 907606742 1402004006 1509850468 1685555378 1815213484 2804008012 3371110756 4907014021 5769785717 5899443823 9814028042 11539571434 11798887646 19628056084 23079142868 23597775292 40388500019 75007214321 80777000038 150014428642 161554000076 300028857284 525050500247 1050101000494 2100202000988