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2130041220 = 2235672512111
BaseRepresentation
bin111111011110101…
…1101100110000100
312111110001022020120
41332331131212010
513330242304340
6551210101540
7103533023466
oct17675354604
95443038216
102130041220
119a339754a
124b541a8b0
1327c3a8828
14162c6a136
15c6eed4d0
hex7ef5d984

2130041220 has 96 divisors (see below), whose sum is σ = 6080126976. Its totient is φ = 557040000.

The previous prime is 2130041191. The next prime is 2130041233. The reversal of 2130041220 is 221400312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2130041220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007965 + ... + 1010075.

It is an arithmetic number, because the mean of its divisors is an integer number (63334656).

Almost surely, 22130041220 is an apocalyptic number.

2130041220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040063488).

2130041220 is an abundant number, since it is smaller than the sum of its proper divisors (3950085756).

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

2130041220 is a wasteful number, since it uses less digits than its factorization.

2130041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2130041220 is about 46152.3696033042. The cubic root of 2130041220 is about 1286.6566509582.

Adding to 2130041220 its reverse (221400312), we get a palindrome (2351441532).

The spelling of 2130041220 in words is "two billion, one hundred thirty million, forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 251 268 335 402 502 670 753 804 1004 1005 1255 1340 1506 2010 2111 2510 3012 3765 4020 4222 5020 6333 7530 8444 10555 12666 15060 16817 21110 25332 31665 33634 42220 50451 63330 67268 84085 100902 126660 141437 168170 201804 252255 282874 336340 424311 504510 529861 565748 707185 848622 1009020 1059722 1414370 1589583 1697244 2119444 2121555 2649305 2828740 3179166 4243110 5298610 6358332 7947915 8486220 10597220 15895830 31791660 35500687 71001374 106502061 142002748 177503435 213004122 355006870 426008244 532510305 710013740 1065020610 2130041220