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212022001020 = 22358342574699
BaseRepresentation
bin1100010101110101111…
…1101111110101111100
3202021021011210121120110
43011131133233311330
511433210113013040
6241222423150020
721214050162444
oct3053537576574
9667234717513
10212022001020
1181a1098a535
12351118a5310
1316cbbbb7b4b
14a3949c9124
1557adadd980
hex315d7efd7c

212022001020 has 48 divisors (see below), whose sum is σ = 600814166400. Its totient is φ = 55858003776.

The previous prime is 212022001003. The next prime is 212022001027. The reversal of 212022001020 is 20100220212.

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 = 212022000987 and 212022001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212022001027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21282370 + ... + 21292329.

It is an arithmetic number, because the mean of its divisors is an integer number (12516961800).

Almost surely, 2212022001020 is an apocalyptic number.

212022001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212022001020 is an abundant number, since it is smaller than the sum of its proper divisors (388792165380).

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

212022001020 is a wasteful number, since it uses less digits than its factorization.

212022001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42574794 (or 42574792 counting only the distinct ones).

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

Adding to 212022001020 its reverse (20100220212), we get a palindrome (232122221232).

The spelling of 212022001020 in words is "two hundred twelve billion, twenty-two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 42574699 85149398 127724097 170298796 212873495 255448194 425746990 510896388 638620485 851493980 1277240970 2554481940 3533700017 7067400034 10601100051 14134800068 17668500085 21202200102 35337000170 42404400204 53005500255 70674000340 106011000510 212022001020