Search a number
-
+
301202030130320 = 24511477282447537
BaseRepresentation
bin100010001111100010001000…
…0000000101111010010010000
31110111110122002100201000002102
41010133010100000233102100
5303434343224203132240
62544334145153335532
7120305062044135314
oct10437042000572220
91414418070630072
10301202030130320
1187a77077762570
1229946b7a5675a8
13cc0b2ca486267
14545438281db44
1524c4e518ae815
hex111f11002f490

301202030130320 has 80 divisors (see below), whose sum is σ = 780212299431168. Its totient is φ = 107197627729920.

The previous prime is 301202030130317. The next prime is 301202030130329. The reversal of 301202030130320 is 23031030202103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 301202030130292 and 301202030130301.

It is not an unprimeable number, because it can be changed into a prime (301202030130329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3641182409 + ... + 3641265128.

Almost surely, 2301202030130320 is an apocalyptic number.

It is an amenable number.

301202030130320 is an abundant number, since it is smaller than the sum of its proper divisors (479010269300848).

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

301202030130320 is a wasteful number, since it uses less digits than its factorization.

301202030130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7282447608 (or 7282447602 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 301202030130320 its reverse (23031030202103), we get a palindrome (324233060332423).

The spelling of 301202030130320 in words is "three hundred one trillion, two hundred two billion, thirty million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 188 220 235 376 440 470 517 752 880 940 1034 1880 2068 2585 3760 4136 5170 8272 10340 20680 41360 7282447537 14564895074 29129790148 36412237685 58259580296 72824475370 80106922907 116519160592 145648950740 160213845814 291297901480 320427691628 342275034239 400534614535 582595802960 640855383256 684550068478 801069229070 1281710766512 1369100136956 1602138458140 1711375171195 2738200273912 3204276916280 3422750342390 3765025376629 5476400547824 6408553832560 6845500684780 7530050753258 13691001369560 15060101506516 18825126883145 27382002739120 30120203013032 37650253766290 60240406026064 75300507532580 150601015065160 301202030130320