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21212020000 = 255410110501
BaseRepresentation
bin10011110000010101…
…011011110100100000
32000202022011021010101
4103300111123310200
5321420234120000
613424503112144
71350440123623
oct236025336440
960668137111
1021212020000
118aa56a5646
12413ba42654
13200081a232
141053263dba
1584237ce6a
hex4f055bd20

21212020000 has 120 divisors (see below), whose sum is σ = 52706450412. Its totient is φ = 8400000000.

The previous prime is 21212019953. The next prime is 21212020001. The reversal of 21212020000 is 2021212.

It can be written as a sum of positive squares in 10 ways, for example, as 197458704 + 21014561296 = 14052^2 + 144964^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21212020001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2014750 + ... + 2025250.

Almost surely, 221212020000 is an apocalyptic number.

21212020000 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 21212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26353225206).

21212020000 is an abundant number, since it is smaller than the sum of its proper divisors (31494430412).

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

21212020000 is a wasteful number, since it uses less digits than its factorization.

21212020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10632 (or 10609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21212020000 its reverse (2021212), we get a palindrome (21214041212).

The spelling of 21212020000 in words is "twenty-one billion, two hundred twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 625 800 808 1000 1010 1250 1616 2000 2020 2500 2525 3232 4000 4040 5000 5050 8080 10000 10100 10501 12625 16160 20000 20200 21002 25250 40400 42004 50500 52505 63125 80800 84008 101000 105010 126250 168016 202000 210020 252500 262525 336032 404000 420040 505000 525050 840080 1010000 1050100 1060601 1312625 1680160 2020000 2100200 2121202 2625250 4200400 4242404 5250500 5303005 6563125 8400800 8484808 10501000 10606010 13126250 16969616 21002000 21212020 26252500 26515025 33939232 42004000 42424040 52505000 53030050 84848080 105010000 106060100 132575125 169696160 210020000 212120200 265150250 424240400 530300500 662875625 848480800 1060601000 1325751250 2121202000 2651502500 4242404000 5303005000 10606010000 21212020000