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21013211022000 = 243534185419557
BaseRepresentation
bin1001100011100100001001…
…11110101000001010110000
32202101211202210202101100220
410301302010332220022300
510223240024010201000
6112405200314413040
74266103646430021
oct461620476501260
982354683671326
1021013211022000
11677171a89932a
122434601a31180
13b956ca597352
1452908b080c48
152669063341a0
hex131c84fa82b0

21013211022000 has 160 divisors (see below), whose sum is σ = 69398949057984. Its totient is φ = 5466851584000.

The previous prime is 21013211021963. The next prime is 21013211022007. The reversal of 21013211022000 is 22011231012.

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

It is not an unprimeable number, because it can be changed into a prime (21013211022007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42463779 + ... + 42955778.

Almost surely, 221013211022000 is an apocalyptic number.

21013211022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21013211022000 is an abundant number, since it is smaller than the sum of its proper divisors (48385738035984).

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

21013211022000 is a wasteful number, since it uses less digits than its factorization.

21013211022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85419624 (or 85419608 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21013211022000 its reverse (22011231012), we get a palindrome (21035222253012).

The spelling of 21013211022000 in words is "twenty-one trillion, thirteen billion, two hundred eleven million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 125 150 164 200 205 240 246 250 300 328 375 400 410 492 500 600 615 656 750 820 984 1000 1025 1200 1230 1500 1640 1968 2000 2050 2460 3000 3075 3280 4100 4920 5125 6000 6150 8200 9840 10250 12300 15375 16400 20500 24600 30750 41000 49200 61500 82000 123000 246000 85419557 170839114 256258671 341678228 427097785 512517342 683356456 854195570 1025034684 1281293355 1366712912 1708391140 2050069368 2135488925 2562586710 3416782280 3502201837 4100138736 4270977850 5125173420 6406466775 6833564560 7004403674 8541955700 10250346840 10506605511 10677444625 12812933550 14008807348 17083911400 17511009185 20500693680 21013211022 21354889250 25625867100 28017614696 32032333875 34167822800 35022018370 42026422044 42709778500 51251734200 52533027555 56035229392 64064667750 70044036740 84052844088 85419557000 87555045925 102503468400 105066055110 128129335500 140088073480 168105688176 170839114000 175110091850 210132110220 256258671000 262665137775 280176146960 350220183700 420264220440 437775229625 512517342000 525330275550 700440367400 840528440880 875550459250 1050660551100 1313325688875 1400880734800 1751100918500 2101321102200 2626651377750 3502201837000 4202642204400 5253302755500 7004403674000 10506605511000 21013211022000