Search a number
-
+
202211102020020 = 2235172937539334259
BaseRepresentation
bin101101111110100011110000…
…111001111101000110110100
3222111222012012101011122102120
4231332203300321331012310
5203001011314104120040
61554022255311235540
760410161420350102
oct5576436071750664
9874865171148376
10202211102020020
1159481279504295
121a819a48b18bb0
1388aa56ac39b22
1437d10d8c20c72
151859e94ed37d0
hexb7e8f0e7d1b4

202211102020020 has 384 divisors, whose sum is σ = 637066750118400. Its totient is φ = 47666403606528.

The previous prime is 202211102019977. The next prime is 202211102020021. The reversal of 202211102020020 is 20020201112202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202211102020021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5902405651 + ... + 5902439909.

It is an arithmetic number, because the mean of its divisors is an integer number (1659027995100).

Almost surely, 2202211102020020 is an apocalyptic number.

202211102020020 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 202211102020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318533375059200).

202211102020020 is an abundant number, since it is smaller than the sum of its proper divisors (434855648098380).

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

202211102020020 is a wasteful number, since it uses less digits than its factorization.

202211102020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39747 (or 39745 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202211102020020 its reverse (20020201112202), we get a palindrome (222231303132222).

The spelling of 202211102020020 in words is "two hundred two trillion, two hundred eleven billion, one hundred two million, twenty thousand, twenty".