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202100021002020 = 22355957090401413
BaseRepresentation
bin101101111100111100010011…
…111101011111111100100100
3222111120120110221122021010210
4231330330103331133330210
5202442201320334031040
61553455245023415420
760366146631312501
oct5574742375377444
9874516427567123
10202100021002020
1159439157134379
121a800408154570
13889cc477a71cb
1437c999c2404a8
151857143054480
hexb7cf13f5ff24

202100021002020 has 48 divisors (see below), whose sum is σ = 575471246253120. Its totient is φ = 52979892510336.

The previous prime is 202100021001979. The next prime is 202100021002043. The reversal of 202100021002020 is 20200120001202.

It is a super-3 number, since 3×2021000210020203 (a number of 44 digits) contains 333 as substring.

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 = 202100021001987 and 202100021002005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28545197167 + ... + 28545204246.

It is an arithmetic number, because the mean of its divisors is an integer number (11988984296940).

Almost surely, 2202100021002020 is an apocalyptic number.

202100021002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100021002020 is an abundant number, since it is smaller than the sum of its proper divisors (373371225251100).

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

202100021002020 is a wasteful number, since it uses less digits than its factorization.

202100021002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57090401484 (or 57090401482 counting only the distinct ones).

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

Adding to 202100021002020 its reverse (20200120001202), we get a palindrome (222300141003222).

The spelling of 202100021002020 in words is "two hundred two trillion, one hundred billion, twenty-one million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 57090401413 114180802826 171271204239 228361605652 285452007065 342542408478 570904014130 685084816956 856356021195 1141808028260 1712712042390 3368333683367 3425424084780 6736667366734 10105001050101 13473334733468 16841668416835 20210002100202 33683336833670 40420004200404 50525005250505 67366673667340 101050010501010 202100021002020