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2130422320 = 2451317412939
BaseRepresentation
bin111111011111011…
…1010101000110000
312111110202200000101
41332332322220300
513330342003240
6551222202144
7103536201535
oct17676725060
95443680011
102130422320
119a3627904
124b5583354
1327c4b0130
14162d28d8c
15c707639a
hex7efbaa30

2130422320 has 160 divisors (see below), whose sum is σ = 5787754560. Its totient is φ = 722042880.

The previous prime is 2130422263. The next prime is 2130422321. The reversal of 2130422320 is 232240312.

It is not an unprimeable number, because it can be changed into a prime (2130422321) by changing a digit.

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, 723411 + ... + 726349.

It is an arithmetic number, because the mean of its divisors is an integer number (36173466).

Almost surely, 22130422320 is an apocalyptic number.

2130422320 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 2130422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893877280).

2130422320 is an abundant number, since it is smaller than the sum of its proper divisors (3657332240).

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

2130422320 is a wasteful number, since it uses less digits than its factorization.

2130422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2130422320 is about 46156.4981340656. The cubic root of 2130422320 is about 1286.7333811805.

Adding to 2130422320 its reverse (232240312), we get a palindrome (2362662632).

The spelling of 2130422320 in words is "two billion, one hundred thirty million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 41 52 65 68 80 82 85 104 130 136 164 170 205 208 221 260 272 328 340 410 442 520 533 656 680 697 820 884 1040 1066 1105 1360 1394 1640 1768 2132 2210 2665 2788 2939 3280 3485 3536 4264 4420 5330 5576 5878 6970 8528 8840 9061 10660 11152 11756 13940 14695 17680 18122 21320 23512 27880 29390 36244 38207 42640 45305 47024 49963 55760 58780 72488 76414 90610 99926 117560 120499 144976 152828 181220 191035 199852 235120 240998 249815 305656 362440 382070 399704 481996 499630 602495 611312 649519 724880 764140 799408 963992 999260 1204990 1299038 1528280 1566487 1927984 1998520 2048483 2409980 2598076 3056560 3132974 3247595 3997040 4096966 4819960 5196152 6265948 6495190 7832435 8193932 9639920 10242415 10392304 12531896 12990380 15664870 16387864 20484830 25063792 25980760 26630279 31329740 32775728 40969660 51961520 53260558 62659480 81939320 106521116 125318960 133151395 163878640 213042232 266302790 426084464 532605580 1065211160 2130422320