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210030100020 = 223251389756453
BaseRepresentation
bin1100001110011011000…
…1001111111000110100
3202002010100200120002100
43003212301033320310
511420120201200040
6240253025542100
721113512252056
oct3034661177064
9662110616070
10210030100020
1181089574864
12348567a4930
1316a62317cc0
14a24623b8d6
1556e3ccab30
hex30e6c4fe34

210030100020 has 72 divisors (see below), whose sum is σ = 686098334376. Its totient is φ = 51699716352.

The previous prime is 210030100013. The next prime is 210030100087. The reversal of 210030100020 is 20001030012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42536484 + 209987563536 = 6522^2 + 458244^2 .

It is a super-2 number, since 2×2100301000202 (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 = 210030099975 and 210030100011.

It is a congruent number.

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, 44875887 + ... + 44880566.

It is an arithmetic number, because the mean of its divisors is an integer number (9529143533).

Almost surely, 2210030100020 is an apocalyptic number.

210030100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210030100020 is an abundant number, since it is smaller than the sum of its proper divisors (476068234356).

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

210030100020 is a wasteful number, since it uses less digits than its factorization.

210030100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89756481 (or 89756476 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 210030100020 its reverse (20001030012), we get a palindrome (230031130032).

The spelling of 210030100020 in words is "two hundred ten billion, thirty million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 89756453 179512906 269269359 359025812 448782265 538538718 807808077 897564530 1077077436 1166833889 1346346795 1615616154 1795129060 2333667778 2692693590 3231232308 3500501667 4039040385 4667335556 5385387180 5834169445 7001003334 8078080770 10501505001 11668338890 14002006668 16156161540 17502508335 21003010002 23336677780 35005016670 42006020004 52507525005 70010033340 105015050010 210030100020