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210120010020 = 223252933984073
BaseRepresentation
bin1100001110110000100…
…0001110100100100100
3202002100121212110102100
43003230020032210210
511420311210310040
6240310001012100
721115653421254
oct3035410164444
9662317773370
10210120010020
11811252a4548
1234880924030
1316a77b37c9b
14a254163964
1556ebb3ab30
hex30ec20e924

210120010020 has 72 divisors (see below), whose sum is σ = 639539494776. Its totient is φ = 55840753152.

The previous prime is 210120010019. The next prime is 210120010057. The reversal of 210120010020 is 20010021012.

It can be written as a sum of positive squares in 4 ways, for example, as 86969548836 + 123150461184 = 294906^2 + 350928^2 .

It is a super-2 number, since 2×2101200100202 (a number of 23 digits) contains 22 as substring.

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 = 210120009984 and 210120010011.

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, 1939297 + ... + 2044776.

It is an arithmetic number, because the mean of its divisors is an integer number (8882492983).

Almost surely, 2210120010020 is an apocalyptic number.

210120010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210120010020 is an abundant number, since it is smaller than the sum of its proper divisors (429419484756).

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

210120010020 is a wasteful number, since it uses less digits than its factorization.

210120010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984381 (or 3984376 counting only the distinct ones).

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

Adding to 210120010020 its reverse (20010021012), we get a palindrome (230130031032).

The spelling of 210120010020 in words is "two hundred ten billion, one hundred twenty million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 293 586 879 1172 1465 1758 2637 2930 3516 4395 5274 5860 8790 10548 13185 17580 26370 52740 3984073 7968146 11952219 15936292 19920365 23904438 35856657 39840730 47808876 59761095 71713314 79681460 119522190 143426628 179283285 239044380 358566570 717133140 1167333389 2334666778 3502000167 4669333556 5836666945 7004000334 10506000501 11673333890 14008000668 17510000835 21012001002 23346667780 35020001670 42024002004 52530002505 70040003340 105060005010 210120010020