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213320301000 = 23353174182751
BaseRepresentation
bin1100011010101011100…
…0010111100111001000
3202101121122210002022220
43012222320113213020
511443334444113000
6241555322214040
721261163432542
oct3065270274710
9671548702286
10213320301000
1182517826524
1235414654320
1317167b790a1
14a4791c6692
155837a951a0
hex31aae179c8

213320301000 has 128 divisors (see below), whose sum is σ = 704710056960. Its totient is φ = 53539200000.

The previous prime is 213320300969. The next prime is 213320301037. The reversal of 213320301000 is 103023312.

213320301000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 2040376 + ... + 2142375.

It is an arithmetic number, because the mean of its divisors is an integer number (5505547320).

Almost surely, 2213320301000 is an apocalyptic number.

213320301000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213320301000 is an abundant number, since it is smaller than the sum of its proper divisors (491389755960).

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

213320301000 is a wasteful number, since it uses less digits than its factorization.

213320301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182792 (or 4182778 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 213320301000 its reverse (103023312), we get a palindrome (213423324312).

The spelling of 213320301000 in words is "two hundred thirteen billion, three hundred twenty million, three hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1500 1700 2040 2125 2550 3000 3400 4250 5100 6375 8500 10200 12750 17000 25500 51000 4182751 8365502 12548253 16731004 20913755 25096506 33462008 41827510 50193012 62741265 71106767 83655020 100386024 104568775 125482530 142213534 167310040 209137550 213320301 250965060 284427068 313706325 355533835 418275100 426640602 501930120 522843875 568854136 627412650 711067670 836550200 853281204 1045687750 1066601505 1254825300 1422135340 1568531625 1706562408 1777669175 2091375500 2133203010 2509650600 2844270680 3137063250 3555338350 4182751000 4266406020 5333007525 6274126500 7110676700 8532812040 8888345875 10666015050 12548253000 14221353400 17776691750 21332030100 26665037625 35553383500 42664060200 53330075250 71106767000 106660150500 213320301000