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2130315520 = 2859191811
BaseRepresentation
bin111111011111010…
…0000100100000000
312111110120020111211
41332332200210000
513330330044040
6551220015504
7103535245264
oct17676404400
95443506454
102130315520
119a3564643
124b5531594
1327c473638
14162cdc0a4
15c70548ea
hex7efa0900

2130315520 has 72 divisors (see below), whose sum is σ = 5111144640. Its totient is φ = 850728960.

The previous prime is 2130315493. The next prime is 2130315547. The reversal of 2130315520 is 255130312.

It is an interprime number because it is at equal distance from previous prime (2130315493) and next prime (2130315547).

It is a super-3 number, since 3×21303155203 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2130315491 and 2130315500.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1175415 + ... + 1177225.

It is an arithmetic number, because the mean of its divisors is an integer number (70988120).

Almost surely, 22130315520 is an apocalyptic number.

2130315520 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 2130315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555572320).

2130315520 is an abundant number, since it is smaller than the sum of its proper divisors (2980829120).

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

2130315520 is an equidigital number, since it uses as much as digits as its factorization.

2130315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2130315520 is about 46155.3411860426. The cubic root of 2130315520 is about 1286.7118791180.

Adding to 2130315520 its reverse (255130312), we get a palindrome (2385445832).

The spelling of 2130315520 in words is "two billion, one hundred thirty million, three hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 919 1280 1811 1838 3622 3676 4595 7244 7352 9055 9190 14488 14704 18110 18380 28976 29408 36220 36760 57952 58816 72440 73520 115904 117632 144880 147040 231808 235264 289760 294080 463616 579520 588160 1159040 1176320 1664309 2318080 3328618 6657236 8321545 13314472 16643090 26628944 33286180 53257888 66572360 106515776 133144720 213031552 266289440 426063104 532578880 1065157760 2130315520