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210012010020 = 223253049382661
BaseRepresentation
bin1100001110010110110…
…0001111011000100100
3202002002002122111021100
43003211230033120210
511420101033310040
6240251142120100
721113202426411
oct3034554173044
9662062574240
10210012010020
118107a33954a
1234850720030
1316a5b653067
14a243a8d108
1556e2405b30
hex30e5b0f624

210012010020 has 72 divisors (see below), whose sum is σ = 637247028600. Its totient is φ = 55984688640.

The previous prime is 210012010003. The next prime is 210012010031. The reversal of 210012010020 is 20010210012.

It can be written as a sum of positive squares in 4 ways, for example, as 584962596 + 209427047424 = 24186^2 + 457632^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210012009984 and 210012010011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357490 + ... + 740150.

It is an arithmetic number, because the mean of its divisors is an integer number (8850653175).

Almost surely, 2210012010020 is an apocalyptic number.

210012010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210012010020 is an abundant number, since it is smaller than the sum of its proper divisors (427235018580).

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

210012010020 is a wasteful number, since it uses less digits than its factorization.

210012010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385725 (or 385720 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210012010020 its reverse (20010210012), we get a palindrome (230022220032).

The spelling of 210012010020 in words is "two hundred ten billion, twelve million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3049 6098 9147 12196 15245 18294 27441 30490 36588 45735 54882 60980 91470 109764 137205 182940 274410 382661 548820 765322 1147983 1530644 1913305 2295966 3443949 3826610 4591932 5739915 6887898 7653220 11479830 13775796 17219745 22959660 34439490 68878980 1166733389 2333466778 3500200167 4666933556 5833666945 7000400334 10500600501 11667333890 14000800668 17501000835 21001201002 23334667780 35002001670 42002402004 52503002505 70004003340 105006005010 210012010020