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2130020132300 = 22521753173136651
BaseRepresentation
bin11110111111101111000…
…101111110010111001100
321112121221202122220220122
4132333233011332113030
5234344240123213200
64310303455404112
7306613612252124
oct36775705762714
97477852586818
102130020132300
11751377920685
122a498b523638
13125b246675b8
14751448b9c84
153a6179bb385
hex1efef17e5cc

2130020132300 has 144 divisors (see below), whose sum is σ = 5015234441952. Its totient is φ = 782206464000.

The previous prime is 2130020132299. The next prime is 2130020132309. The reversal of 2130020132300 is 32310200312.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2130020132309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15518975 + ... + 15655625.

It is an arithmetic number, because the mean of its divisors is an integer number (34828016958).

Almost surely, 22130020132300 is an apocalyptic number.

2130020132300 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 2130020132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507617220976).

2130020132300 is an abundant number, since it is smaller than the sum of its proper divisors (2885214309652).

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

2130020132300 is a wasteful number, since it uses less digits than its factorization.

2130020132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136908 (or 136901 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2130020132300 its reverse (32310200312), we get a palindrome (2162330332612).

The spelling of 2130020132300 in words is "two trillion, one hundred thirty billion, twenty million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 170 173 212 265 340 346 425 530 692 850 865 901 1060 1325 1700 1730 1802 2650 2941 3460 3604 4325 4505 5300 5882 8650 9010 9169 11764 14705 17300 18020 18338 22525 29410 36676 45050 45845 58820 73525 90100 91690 136651 147050 155873 183380 229225 273302 294100 311746 458450 546604 623492 683255 779365 916900 1366510 1558730 2323067 2733020 3117460 3416275 3896825 4646134 6832550 7242503 7793650 9292268 11615335 13665100 14485006 15587300 23230670 23640623 28970012 36212515 46461340 47281246 58076675 72425030 94562492 116153350 118203115 123122551 144850060 181062575 232306700 236406230 246245102 362125150 401890591 472812460 492490204 591015575 615612755 724250300 803781182 1182031150 1231225510 1252953019 1607562364 2009452955 2364062300 2462451020 2505906038 3078063775 4018905910 5011812076 6156127550 6264765095 8037811820 10047264775 12312255100 12529530190 20094529550 21300201323 25059060380 31323825475 40189059100 42600402646 62647650950 85200805292 106501006615 125295301900 213002013230 426004026460 532505033075 1065010066150 2130020132300