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2100334020 = 2235173316221
BaseRepresentation
bin111110100110000…
…1000110111000100
312102101011000121220
41331030020313010
513300141142040
6544225240340
7103022354541
oct17514106704
95371130556
102100334020
11988647044
124a74930b0
132761a6bc5
1415cd35bc8
15c45d12d0
hex7d308dc4

2100334020 has 96 divisors (see below), whose sum is σ = 6246688896. Its totient is φ = 525465600.

The previous prime is 2100334013. The next prime is 2100334031. The reversal of 2100334020 is 204330012.

It is a super-2 number, since 2×21003340202 = 8822805991138720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 334510 + ... + 340730.

It is an arithmetic number, because the mean of its divisors is an integer number (65069676).

Almost surely, 22100334020 is an apocalyptic number.

2100334020 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 2100334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123344448).

2100334020 is an abundant number, since it is smaller than the sum of its proper divisors (4146354876).

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

2100334020 is a wasteful number, since it uses less digits than its factorization.

2100334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2100334020 is about 45829.4012616355. The cubic root of 2100334020 is about 1280.6470564758.

Adding to 2100334020 its reverse (204330012), we get a palindrome (2304664032).

The spelling of 2100334020 in words is "two billion, one hundred million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 331 340 510 662 993 1020 1324 1655 1986 3310 3972 4965 5627 6221 6620 9930 11254 12442 16881 18663 19860 22508 24884 28135 31105 33762 37326 56270 62210 67524 74652 84405 93315 105757 112540 124420 168810 186630 211514 317271 337620 373260 423028 528785 634542 1057570 1269084 1586355 2059151 2115140 3172710 4118302 6177453 6345420 8236604 10295755 12354906 20591510 24709812 30887265 35005567 41183020 61774530 70011134 105016701 123549060 140022268 175027835 210033402 350055670 420066804 525083505 700111340 1050167010 2100334020