Search a number
-
+
2130463045500 = 223533673386689
BaseRepresentation
bin11111000000001001011…
…111100011011101111100
321112200002122002020121020
4133000021133203131330
5234401142014424000
64310415440504140
7306630601044216
oct37001137433574
97480078066536
102130463045500
11751584936949
122a4a9391b050
13125b9535270a
14751876515b6
153a641809ba0
hex1f0097e377c

2130463045500 has 96 divisors (see below), whose sum is σ = 6205613494080. Its totient is φ = 567967334400.

The previous prime is 2130463045483. The next prime is 2130463045519. The reversal of 2130463045500 is 55403640312.

It is a super-2 number, since 2×21304630455002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5316156 + ... + 5702844.

It is an arithmetic number, because the mean of its divisors is an integer number (64641807230).

Almost surely, 22130463045500 is an apocalyptic number.

2130463045500 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 2130463045500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102806747040).

2130463045500 is an abundant number, since it is smaller than the sum of its proper divisors (4075150448580).

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

2130463045500 is a wasteful number, since it uses less digits than its factorization.

2130463045500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390384 (or 390372 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 2130463045500 its reverse (55403640312), we get a palindrome (2185866685812).

The spelling of 2130463045500 in words is "two trillion, one hundred thirty billion, four hundred sixty-three million, forty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 3673 7346 11019 14692 18365 22038 36730 44076 55095 73460 91825 110190 183650 220380 275475 367300 386689 459125 550950 773378 918250 1101900 1160067 1377375 1546756 1836500 1933445 2320134 2754750 3866890 4640268 5509500 5800335 7733780 9667225 11600670 19334450 23201340 29001675 38668900 48336125 58003350 96672250 116006700 145008375 193344500 290016750 580033500 1420308697 2840617394 4260926091 5681234788 7101543485 8521852182 14203086970 17043704364 21304630455 28406173940 35507717425 42609260910 71015434850 85218521820 106523152275 142030869700 177538587125 213046304550 355077174250 426092609100 532615761375 710154348500 1065231522750 2130463045500