Search a number
-
+
2130337604304 = 2433713223924203
BaseRepresentation
bin11111000000000010000…
…001000010001011010000
321112122202220001011122000
4133000002001002023100
5234400412411314204
64310355200114000
7306624515601360
oct37000201021320
97478686034560
102130337604304
11751520049038
122a4a59905900
13125b75371c60
1475174b1a9a0
153a6357cc039
hex1f0020422d0

2130337604304 has 320 divisors, whose sum is σ = 7529651404800. Its totient is φ = 561573139968.

The previous prime is 2130337604303. The next prime is 2130337604321. The reversal of 2130337604304 is 4034067330312.

2130337604304 is a `hidden beast` number, since 2 + 13 + 0 + 3 + 3 + 7 + 604 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130337604303) 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, 88007467 + ... + 88031669.

It is an arithmetic number, because the mean of its divisors is an integer number (23530160640).

Almost surely, 22130337604304 is an apocalyptic number.

2130337604304 is a gapful number since it is divisible by the number (24) 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 2130337604304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764825702400).

2130337604304 is an abundant number, since it is smaller than the sum of its proper divisors (5399313800496).

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

2130337604304 is a wasteful number, since it uses less digits than its factorization.

2130337604304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26479 (or 26467 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 2130337604304 in words is "two trillion, one hundred thirty billion, three hundred thirty-seven million, six hundred four thousand, three hundred four".