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212011001020 = 225713116489561
BaseRepresentation
bin1100010101110011010…
…1110010010010111100
3202021020102002202102001
43011130311302102330
511433144304013040
6241221351312044
721213554526460
oct3053465622274
9667212082361
10212011001020
1181a05757025
123510a07b624
1316cb9836080
14a3933644a0
1557acb6959a
hex315cd724bc

212011001020 has 48 divisors (see below), whose sum is σ = 547966899648. Its totient is φ = 67097986560.

The previous prime is 212011001011. The next prime is 212011001021. The reversal of 212011001020 is 20100110212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212011000988 and 212011001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011001021) 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, 58242961 + ... + 58246600.

It is an arithmetic number, because the mean of its divisors is an integer number (11415977076).

Almost surely, 2212011001020 is an apocalyptic number.

212011001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011001020 is an abundant number, since it is smaller than the sum of its proper divisors (335955898628).

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

212011001020 is a wasteful number, since it uses less digits than its factorization.

212011001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116489590 (or 116489588 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212011001020 its reverse (20100110212), we get a palindrome (232111111232).

The spelling of 212011001020 in words is "two hundred twelve billion, eleven million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 116489561 232979122 465958244 582447805 815426927 1164895610 1514364293 1630853854 2329791220 3028728586 3261707708 4077134635 6057457172 7571821465 8154269270 10600550051 15143642930 16308538540 21201100102 30287285860 42402200204 53002750255 106005500510 212011001020