Search a number
-
+
2101121310720 = 2133517098969
BaseRepresentation
bin11110100100110100100…
…101101110000000000000
321102212100202102200100110
4132210310211232000000
5233411044023420340
64245124121351320
7304541513315025
oct36446445560000
97385322380313
102101121310720
11740098227263
1229b265338540
1312319a476683
14739a27d954c
15399c58ac680
hex1e93496e000

2101121310720 has 112 divisors (see below), whose sum is σ = 6723178212240. Its totient is φ = 560298983424.

The previous prime is 2101121310719. The next prime is 2101121310727. The reversal of 2101121310720 is 270131211012.

It is a super-3 number, since 3×21011213107203 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101121310727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8426605 + ... + 8672364.

It is an arithmetic number, because the mean of its divisors is an integer number (60028376895).

Almost surely, 22101121310720 is an apocalyptic number.

2101121310720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101121310720 is an abundant number, since it is smaller than the sum of its proper divisors (4622056901520).

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

2101121310720 is an equidigital number, since it uses as much as digits as its factorization.

2101121310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17099003 (or 17098979 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

Adding to 2101121310720 its reverse (270131211012), we get a palindrome (2371252521732).

The spelling of 2101121310720 in words is "two trillion, one hundred one billion, one hundred twenty-one million, three hundred ten thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 20480 24576 30720 40960 61440 122880 17098969 34197938 51296907 68395876 85494845 102593814 136791752 170989690 205187628 256484535 273583504 341979380 410375256 512969070 547167008 683958760 820750512 1025938140 1094334016 1367917520 1641501024 2051876280 2188668032 2735835040 3283002048 4103752560 4377336064 5471670080 6566004096 8207505120 8754672128 10943340160 13132008192 16415010240 17509344256 21886680320 26264016384 32830020480 35018688512 43773360640 52528032768 65660040960 70037377024 87546721280 105056065536 131320081920 140074754048 175093442560 210112131072 262640163840 350186885120 420224262144 525280327680 700373770240 1050560655360 2101121310720