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20212121000 = 2353131154291
BaseRepresentation
bin10010110100101111…
…000111110110101000
31221011121200010120002
4102310233013312220
5312343300333000
613141343522132
71313606123321
oct226457076650
957147603502
1020212121000
118632240735
123b00bb9348
131ba1617016
14d9a541448
157d46bb8d5
hex4b4bc7da8

20212121000 has 64 divisors (see below), whose sum is σ = 47657712960. Its totient is φ = 8023080000.

The previous prime is 20212120997. The next prime is 20212121009. The reversal of 20212121000 is 12121202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20212121009) 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 15 ways as a sum of consecutive naturals, for example, 53855 + ... + 208145.

It is an arithmetic number, because the mean of its divisors is an integer number (744651765).

Almost surely, 220212121000 is an apocalyptic number.

20212121000 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 20212121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23828856480).

20212121000 is an abundant number, since it is smaller than the sum of its proper divisors (27445591960).

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

20212121000 is a wasteful number, since it uses less digits than its factorization.

20212121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154443 (or 154429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20212121000 its reverse (12121202), we get a palindrome (20224242202).

The spelling of 20212121000 in words is "twenty billion, two hundred twelve million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 200 250 262 500 524 655 1000 1048 1310 2620 3275 5240 6550 13100 16375 26200 32750 65500 131000 154291 308582 617164 771455 1234328 1542910 3085820 3857275 6171640 7714550 15429100 19286375 20212121 30858200 38572750 40424242 77145500 80848484 101060605 154291000 161696968 202121210 404242420 505303025 808484840 1010606050 2021212100 2526515125 4042424200 5053030250 10106060500 20212121000