Search a number
-
+
2021100210100 = 225259221341281
BaseRepresentation
bin11101011010010010111…
…101011100011110110100
321011012210221121120202001
4131122102331130132310
5231103203123210400
64144251451425044
7266006514221416
oct35322275343664
97135727546661
102021100210100
1170a164418a54
12287852455184
13118786b644aa
146db70d2a9b6
1537890621a6a
hex1d692f5c7b4

2021100210100 has 36 divisors (see below), whose sum is σ = 4385874365068. Its totient is φ = 808424064000.

The previous prime is 2021100210049. The next prime is 2021100210109. The reversal of 2021100210100 is 10120011202.

It can be written as a sum of positive squares in 6 ways, for example, as 34111134864 + 1986989075236 = 184692^2 + 1409606^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021100210109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5751460 + ... + 6092740.

Almost surely, 22021100210100 is an apocalyptic number.

2021100210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021100210100 is an abundant number, since it is smaller than the sum of its proper divisors (2364774154968).

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

2021100210100 is a wasteful number, since it uses less digits than its factorization.

2021100210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400516 (or 400509 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2021100210100 its reverse (10120011202), we get a palindrome (2031220221302).

The spelling of 2021100210100 in words is "two trillion, twenty-one billion, one hundred million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 59221 118442 236884 296105 341281 592210 682562 1184420 1365124 1480525 1706405 2961050 3412810 5922100 6825620 8532025 17064050 34128100 20211002101 40422004202 80844008404 101055010505 202110021010 404220042020 505275052525 1010550105050 2021100210100