Search a number
-
+
21512360330340 = 2235111131487193979
BaseRepresentation
bin1001110010000101111001…
…00110001000010001100100
32211011120011101020111000220
410321002330212020101210
510304424303221032330
6113430350352404340
74350134225514645
oct471027446102144
984146141214026
1021512360330340
116944382642570
1224b52a5b466b0
13c007b73c4079
145452bd3016cc
152748bc42a710
hex1390bc988464

21512360330340 has 192 divisors, whose sum is σ = 66336914165760. Its totient is φ = 5165463439360.

The previous prime is 21512360330339. The next prime is 21512360330341. The reversal of 21512360330340 is 4303306321512.

It is an interprime number because it is at equal distance from previous prime (21512360330339) and next prime (21512360330341).

It is a super-2 number, since 2×215123603303402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (21512360330341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110803471 + ... + 110997449.

It is an arithmetic number, because the mean of its divisors is an integer number (345504761280).

Almost surely, 221512360330340 is an apocalyptic number.

21512360330340 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 21512360330340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33168457082880).

21512360330340 is an abundant number, since it is smaller than the sum of its proper divisors (44824553835420).

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

21512360330340 is a wasteful number, since it uses less digits than its factorization.

21512360330340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195602 (or 195600 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 21512360330340 its reverse (4303306321512), we get a palindrome (25815666651852).

The spelling of 21512360330340 in words is "twenty-one trillion, five hundred twelve billion, three hundred sixty million, three hundred thirty thousand, three hundred forty".