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213321321020 = 22543348750581
BaseRepresentation
bin1100011010101011110…
…0010000101000111100
3202101121201200220112102
43012222330100220330
511443340224233040
6241555400124232
721261205211423
oct3065274205074
9671551626472
10213321321020
1182518362915
1235414a66678
1317168145452
14a4793b02ba
155837be7515
hex31aaf10a3c

213321321020 has 48 divisors (see below), whose sum is σ = 449940243648. Its totient is φ = 84954977280.

The previous prime is 213321320999. The next prime is 213321321029. The reversal of 213321321020 is 20123123312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213321320983 and 213321321001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213321321029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4192130 + ... + 4242710.

It is an arithmetic number, because the mean of its divisors is an integer number (9373755076).

Almost surely, 2213321321020 is an apocalyptic number.

213321321020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213321321020 is an abundant number, since it is smaller than the sum of its proper divisors (236618922628).

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

213321321020 is a wasteful number, since it uses less digits than its factorization.

213321321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51510 (or 51508 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213321321020 its reverse (20123123312), we get a palindrome (233444444332).

The spelling of 213321321020 in words is "two hundred thirteen billion, three hundred twenty-one million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 433 487 866 974 1732 1948 2165 2435 4330 4870 8660 9740 50581 101162 202324 210871 252905 421742 505810 843484 1011620 1054355 2108710 4217420 21901573 24632947 43803146 49265894 87606292 98531788 109507865 123164735 219015730 246329470 438031460 492658940 10666066051 21332132102 42664264204 53330330255 106660660510 213321321020