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2000910010100 = 2252296191114651
BaseRepresentation
bin11101000111011111100…
…001111100011011110100
321002021200212012011010212
4131013133201330123310
5230240330430310400
64131112205404552
7264363262314521
oct35073741743364
97067625164125
102000910010100
1170164359a951
12283958869758
131168b9c540a1
146cbb7694148
15370acd35335
hex1d1df87c6f4

2000910010100 has 72 divisors (see below), whose sum is σ = 4498958402400. Its totient is φ = 771516144000.

The previous prime is 2000910010081. The next prime is 2000910010109. The reversal of 2000910010100 is 10100190002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000910010109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1237775 + ... + 2352425.

Almost surely, 22000910010100 is an apocalyptic number.

2000910010100 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 2000910010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249479201200).

2000910010100 is an abundant number, since it is smaller than the sum of its proper divisors (2498048392300).

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

2000910010100 is a wasteful number, since it uses less digits than its factorization.

2000910010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115313 (or 1115306 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 2000910010100 in words is "two trillion, nine hundred ten million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 619 725 1238 1450 2476 2900 3095 6190 12380 15475 17951 30950 35902 61900 71804 89755 179510 359020 448775 897550 1114651 1795100 2229302 4458604 5573255 11146510 22293020 27866275 32324879 55732550 64649758 111465100 129299516 161624395 323248790 646497580 689968969 808121975 1379937938 1616243950 2759875876 3232487900 3449844845 6899689690 13799379380 17249224225 20009100101 34498448450 40018200202 68996896900 80036400404 100045500505 200091001010 400182002020 500227502525 1000455005050 2000910010100