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2000010022100 = 2252137306747599
BaseRepresentation
bin11101000110101001111…
…000110000110011010100
321002012101010201000200222
4131012221320300303110
5230232010031201400
64130443015453512
7264332053456016
oct35065170606324
97065333630628
102000010022100
11701221576612
12283747387298
131167a5662ccc
146cb2dd3c1b6
1537058d0c185
hex1d1a9e30cd4

2000010022100 has 72 divisors (see below), whose sum is σ = 4373218012800. Its totient is φ = 793888945920.

The previous prime is 2000010022093. The next prime is 2000010022117. The reversal of 2000010022100 is 12200100002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41994101 + ... + 42041699.

Almost surely, 22000010022100 is an apocalyptic number.

2000010022100 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 2000010022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186609006400).

2000010022100 is an abundant number, since it is smaller than the sum of its proper divisors (2373207990700).

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

2000010022100 is a wasteful number, since it uses less digits than its factorization.

2000010022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50817 (or 50810 counting only the distinct ones).

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

Adding to 2000010022100 its reverse (12200100002), we get a palindrome (2012210122102).

The spelling of 2000010022100 in words is "two trillion, ten million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 274 548 685 1370 2740 3067 3425 6134 6850 12268 13700 15335 30670 47599 61340 76675 95198 153350 190396 237995 306700 420179 475990 840358 951980 1189975 1680716 2100895 2379950 4201790 4759900 6521063 8403580 10504475 13042126 21008950 26084252 32605315 42017900 65210630 130421260 145986133 163026575 291972266 326053150 583944532 652106300 729930665 1459861330 2919722660 3649653325 7299306650 14598613300 20000100221 40000200442 80000400884 100000501105 200001002210 400002004420 500002505525 1000005011050 2000010022100