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202121020 = 225591031663
BaseRepresentation
bin11000000110000…
…01111100111100
3112002022210220201
430003001330330
5403220333040
632020053244
75003000053
oct1403017474
9462283821
10202121020
11a4101572
1257834224
1332b4a84a
141cbb539a
1512b27a9a
hexc0c1f3c

202121020 has 48 divisors (see below), whose sum is σ = 436101120. Its totient is φ = 78659136.

The previous prime is 202120979. The next prime is 202121053. The reversal of 202121020 is 20121202.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 202120988 and 202121006.

It is a congruent number.

It is an unprimeable number.

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, 120709 + ... + 122371.

It is an arithmetic number, because the mean of its divisors is an integer number (9085440).

Almost surely, 2202121020 is an apocalyptic number.

202121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121020 is an abundant number, since it is smaller than the sum of its proper divisors (233980100).

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

202121020 is a wasteful number, since it uses less digits than its factorization.

202121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 202121020 is about 14216.9272348141. The cubic root of 202121020 is about 586.8635824569.

Adding to 202121020 its reverse (20121202), we get a palindrome (222242222).

The spelling of 202121020 in words is "two hundred two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 59 103 118 206 236 295 412 515 590 1030 1180 1663 2060 3326 6077 6652 8315 12154 16630 24308 30385 33260 60770 98117 121540 171289 196234 342578 392468 490585 685156 856445 981170 1712890 1962340 3425780 10106051 20212102 40424204 50530255 101060510 202121020