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2210131020 = 2235227263617
BaseRepresentation
bin1000001110111011…
…1110110001001100
312201000202021210110
42003232332301030
514011243143040
61003150440020
7105524542446
oct20356766114
95630667713
102210131020
11a3461a169
12518203010
13292b6aa46
1416d757496
15ce06d980
hex83bbec4c

2210131020 has 96 divisors (see below), whose sum is σ = 6249374208. Its totient is φ = 583593472.

The previous prime is 2210131009. The next prime is 2210131051. The reversal of 2210131020 is 201310122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2210130987 and 2210131005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3581752 + ... + 3582368.

It is an arithmetic number, because the mean of its divisors is an integer number (65097648).

Almost surely, 22210131020 is an apocalyptic number.

2210131020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210131020 is an abundant number, since it is smaller than the sum of its proper divisors (4039243188).

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

2210131020 is a wasteful number, since it uses less digits than its factorization.

2210131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2210131020 is about 47012.0305879250. The cubic root of 2210131020 is about 1302.5848019813.

Adding to 2210131020 its reverse (201310122), we get a palindrome (2411441142).

The spelling of 2210131020 in words is "two billion, two hundred ten million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 227 263 454 526 617 681 789 908 1052 1135 1234 1315 1362 1578 1851 2270 2468 2630 2724 3085 3156 3405 3702 3945 4540 5260 6170 6810 7404 7890 9255 12340 13620 15780 18510 37020 59701 119402 140059 162271 179103 238804 280118 298505 324542 358206 420177 486813 560236 597010 649084 700295 716412 811355 840354 895515 973626 1194020 1400590 1622710 1680708 1791030 1947252 2100885 2434065 2801180 3245420 3582060 4201770 4868130 8403540 9736260 36835517 73671034 110506551 147342068 184177585 221013102 368355170 442026204 552532755 736710340 1105065510 2210131020