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202101420 = 223515122307
BaseRepresentation
bin11000000101111…
…01001010101100
3112002021211000210
430002331022230
5403214221140
632015422420
75002555653
oct1402751254
9462254023
10202101420
11a4098874
1257824a10
1332b41951
141cbac19a
1512b21d80
hexc0bd2ac

202101420 has 48 divisors (see below), whose sum is σ = 569657088. Its totient is φ = 53534400.

The previous prime is 202101397. The next prime is 202101421. The reversal of 202101420 is 24101202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202101396 and 202101405.

It is not an unprimeable number, because it can be changed into a prime (202101421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2094 + ... + 20213.

It is an arithmetic number, because the mean of its divisors is an integer number (11867856).

Almost surely, 2202101420 is an apocalyptic number.

202101420 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 202101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284828544).

202101420 is an abundant number, since it is smaller than the sum of its proper divisors (367555668).

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

202101420 is a wasteful number, since it uses less digits than its factorization.

202101420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22470 (or 22468 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 202101420 is about 14216.2378989661. The cubic root of 202101420 is about 586.8446121422.

Adding to 202101420 its reverse (24101202), we get a palindrome (226202622).

The spelling of 202101420 in words is "two hundred two million, one hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 9060 22307 44614 66921 89228 111535 133842 223070 267684 334605 446140 669210 1338420 3368357 6736714 10105071 13473428 16841785 20210142 33683570 40420284 50525355 67367140 101050710 202101420