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212021233020 = 22335392631913
BaseRepresentation
bin1100010101110101110…
…0110100010101111100
3202021021010100121002000
43011131130310111330
511433204413424040
6241222354502300
721214040513412
oct3053534642574
9667233317060
10212021233020
1181a10505523
1235111594990
1316cbb9a93cc
14a3948692b2
1557ad9db130
hex315d73457c

212021233020 has 48 divisors (see below), whose sum is σ = 659621615520. Its totient is φ = 56538995328.

The previous prime is 212021233013. The next prime is 212021233033. The reversal of 212021233020 is 20332120212.

212021233020 is a `hidden beast` number, since 2 + 120 + 212 + 330 + 2 + 0 = 666.

It is a super-2 number, since 2×2120212330202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212021232984 and 212021233002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196315417 + ... + 196316496.

It is an arithmetic number, because the mean of its divisors is an integer number (13742116990).

Almost surely, 2212021233020 is an apocalyptic number.

212021233020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021233020 is an abundant number, since it is smaller than the sum of its proper divisors (447600382500).

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

212021233020 is a wasteful number, since it uses less digits than its factorization.

212021233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392631931 (or 392631923 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212021233020 its reverse (20332120212), we get a palindrome (232353353232).

The spelling of 212021233020 in words is "two hundred twelve billion, twenty-one million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 392631913 785263826 1177895739 1570527652 1963159565 2355791478 3533687217 3926319130 4711582956 5889478695 7067374434 7852638260 10601061651 11778957390 14134748868 17668436085 21202123302 23557914780 35336872170 42404246604 53005308255 70673744340 106010616510 212021233020