Search a number
-
+
210142223120 = 245109113991721
BaseRepresentation
bin1100001110110101110…
…0111101101100010000
3202002102011200000001202
43003231130331230100
511420332402114440
6240312113050332
721116343265424
oct3035534755420
9662364600052
10210142223120
1181136896585
12348882569a8
1316a7c61482b
14a2570a6b84
1556eda77615
hex30ed73db10

210142223120 has 80 divisors (see below), whose sum is σ = 489662409600. Its totient is φ = 83871052800.

The previous prime is 210142223117. The next prime is 210142223147. The reversal of 210142223120 is 21322241012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 210142223092 and 210142223101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122103860 + ... + 122105580.

It is an arithmetic number, because the mean of its divisors is an integer number (6120780120).

Almost surely, 2210142223120 is an apocalyptic number.

210142223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210142223120 is an abundant number, since it is smaller than the sum of its proper divisors (279520186480).

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

210142223120 is a wasteful number, since it uses less digits than its factorization.

210142223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 210142223120 its reverse (21322241012), we get a palindrome (231464464132).

The spelling of 210142223120 in words is "two hundred ten billion, one hundred forty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1091 1399 1721 2182 2798 3442 4364 5455 5596 6884 6995 8605 8728 10910 11192 13768 13990 17210 17456 21820 22384 27536 27980 34420 43640 55960 68840 87280 111920 137680 1526309 1877611 2407679 3052618 3755222 4815358 6105236 7510444 7631545 9388055 9630716 12038395 12210472 15020888 15263090 18776110 19261432 24076790 24420944 30041776 30526180 37552220 38522864 48153580 61052360 75104440 96307160 122104720 150208880 192614320 2626777789 5253555578 10507111156 13133888945 21014222312 26267777890 42028444624 52535555780 105071111560 210142223120