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2000133100240 = 245114411951517
BaseRepresentation
bin11101000110110001001…
…110010001001011010000
321002012200201022001011121
4131012301032101023100
5230232233033201430
64130503133452024
7264335106560302
oct35066116211320
97065621261147
102000133100240
11701284a9aa90
12283780641014
131167c4cc7002
146cb42419972
1537064a1ea7a
hex1d1b13912d0

2000133100240 has 80 divisors (see below), whose sum is σ = 5073278325120. Its totient is φ = 727290524160.

The previous prime is 2000133100181. The next prime is 2000133100241. The reversal of 2000133100240 is 420013310002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000133100241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38798962 + ... + 38850478.

It is an arithmetic number, because the mean of its divisors is an integer number (63415979064).

Almost surely, 22000133100240 is an apocalyptic number.

2000133100240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000133100240 is an abundant number, since it is smaller than the sum of its proper divisors (3073145224880).

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

2000133100240 is a wasteful number, since it uses less digits than its factorization.

2000133100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95660 (or 95654 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2000133100240 its reverse (420013310002), we get a palindrome (2420146410242).

The spelling of 2000133100240 in words is "two trillion, one hundred thirty-three million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 44119 51517 88238 103034 176476 206068 220595 257585 352952 412136 441190 485309 515170 566687 705904 824272 882380 970618 1030340 1133374 1764760 1941236 2060680 2266748 2426545 2833435 3529520 3882472 4121360 4533496 4853090 5666870 7764944 9066992 9706180 11333740 19412360 22667480 38824720 45334960 2272878523 4545757046 9091514092 11364392615 18183028184 22728785230 25001663753 36366056368 45457570460 50003327506 90915140920 100006655012 125008318765 181830281840 200013310024 250016637530 400026620048 500033275060 1000066550120 2000133100240