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202102020 = 223353112073
BaseRepresentation
bin11000000101111…
…01010100000100
3112002021211212000
430002331110010
5403214231040
632015425300
75002560501
oct1402752404
9462254760
10202102020
11a409926a
1257825230
1332b41cc3
141cbac4a8
1512b22130
hexc0bd504

202102020 has 96 divisors (see below), whose sum is σ = 649098240. Its totient is φ = 52151040.

The previous prime is 202102003. The next prime is 202102039. The reversal of 202102020 is 20201202.

202102020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 202101993 and 202102011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10704 + ... + 22776.

It is an arithmetic number, because the mean of its divisors is an integer number (6761440).

Almost surely, 2202102020 is an apocalyptic number.

202102020 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 202102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324549120).

202102020 is an abundant number, since it is smaller than the sum of its proper divisors (446996220).

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

202102020 is a wasteful number, since it uses less digits than its factorization.

202102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12122 (or 12114 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 202102020 is about 14216.2590015798. The cubic root of 202102020 is about 586.8451928844.

Adding to 202102020 its reverse (20201202), we get a palindrome (222303222).

The spelling of 202102020 in words is "two hundred two million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 12073 16740 24146 36219 48292 60365 72438 108657 120730 144876 181095 217314 241460 325971 362190 374263 434628 543285 651942 724380 748526 1086570 1122789 1303884 1497052 1629855 1871315 2173140 2245578 3259710 3368367 3742630 4491156 5613945 6519420 6736734 7485260 10105101 11227890 13473468 16841835 20210202 22455780 33683670 40420404 50525505 67367340 101051010 202102020