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21000100002020 = 22529409143961519
BaseRepresentation
bin1001100011001011101111…
…00000000011100011100100
32202100120221002001120010022
410301211313200003203210
510223031201100031040
6112355151320014312
74265131024541666
oct461456740034344
982316832046108
1021000100002020
116767101a85a27
122431b63001398
13b943bb1c3c69
145285a5a96536
152663da2a26b5
hex1319778038e4

21000100002020 has 96 divisors (see below), whose sum is σ = 45764974080000. Its totient is φ = 8084799894528.

The previous prime is 21000100001893. The next prime is 21000100002053. The reversal of 21000100002020 is 2020000100012.

It is a junction number, because it is equal to n+sod(n) for n = 21000100001989 and 21000100002007.

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, 341328821 + ... + 341390339.

It is an arithmetic number, because the mean of its divisors is an integer number (476718480000).

Almost surely, 221000100002020 is an apocalyptic number.

21000100002020 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 21000100002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22882487040000).

21000100002020 is an abundant number, since it is smaller than the sum of its proper divisors (24764874077980).

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

21000100002020 is a wasteful number, since it uses less digits than its factorization.

21000100002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63405 (or 63403 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 21000100002020 its reverse (2020000100012), we get a palindrome (23020100102032).

The spelling of 21000100002020 in words is "twenty-one trillion, one hundred million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 409 580 818 1439 1636 2045 2878 4090 5756 7195 8180 11861 14390 23722 28780 41731 47444 59305 61519 83462 118610 123038 166924 208655 237220 246076 307595 417310 588551 615190 834620 1177102 1230380 1784051 2354204 2942755 3568102 5885510 7136204 8920255 11771020 17067979 17840510 25161271 34135958 35681020 50322542 68271916 85339895 88525841 100645084 125806355 170679790 177051682 251612710 341359580 354103364 442629205 503225420 729676859 885258410 1459353718 1770516820 2567249389 2918707436 3648384295 5134498778 7296768590 10268997556 12836246945 14593537180 25672493890 36207068969 51344987780 72414137938 144828275876 181035344845 362070689690 724141379380 1050005000101 2100010000202 4200020000404 5250025000505 10500050001010 21000100002020