Search a number
-
+
210120001020 = 223351722888889
BaseRepresentation
bin1100001110110000100…
…0001100010111111100
3202002100121212000002000
43003230020030113330
511420311210013040
6240310000502300
721115653353106
oct3035410142774
9662317760060
10210120001020
1181125298806
123488091a990
1316a77b33b67
14a254160576
1556ebb38130
hex30ec20c5fc

210120001020 has 96 divisors (see below), whose sum is σ = 692160033600. Its totient is φ = 52735997952.

The previous prime is 210120000997. The next prime is 210120001057. The reversal of 210120001020 is 20100021012.

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 = 210120000993 and 210120001011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11435265 + ... + 11453624.

It is an arithmetic number, because the mean of its divisors is an integer number (7210000350).

Almost surely, 2210120001020 is an apocalyptic number.

210120001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210120001020 is an abundant number, since it is smaller than the sum of its proper divisors (482040032580).

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

210120001020 is a wasteful number, since it uses less digits than its factorization.

210120001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22888924 (or 22888916 counting only the distinct ones).

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

Adding to 210120001020 its reverse (20100021012), we get a palindrome (230220022032).

The spelling of 210120001020 in words is "two hundred ten billion, one hundred twenty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 22888889 45777778 68666667 91555556 114444445 137333334 206000001 228888890 274666668 343333335 389111113 412000002 457777780 618000003 686666670 778222226 824000004 1030000005 1167333339 1236000006 1373333340 1556444452 1945555565 2060000010 2334666678 2472000012 3090000015 3502000017 3891111130 4120000020 4669333356 5836666695 6180000030 7004000034 7782222260 10506000051 11673333390 12360000060 14008000068 17510000085 21012000102 23346666780 35020000170 42024000204 52530000255 70040000340 105060000510 210120001020