Search a number
-
+
213143034231330 = 23575373262333117
BaseRepresentation
bin110000011101101000111010…
…110101110111101000100010
31000221200021102112021101111020
4300131220322311313220202
5210414113413230400310
62033152320322030310
762616035041102050
oct6035507265675042
91027607375241436
10213143034231330
1161a064a9218085
121baa466aaa8396
1391c13c0317728
143a8c26c2311d0
1519995159ee170
hexc1da3ad77a22

213143034231330 has 128 divisors (see below), whose sum is σ = 603811088368128. Its totient is φ = 47144408942592.

The previous prime is 213143034231311. The next prime is 213143034231371. The reversal of 213143034231330 is 33132430341312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213143034231291 and 213143034231300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130354069 + ... + 131979048.

It is an arithmetic number, because the mean of its divisors is an integer number (4717274127876).

Almost surely, 2213143034231330 is an apocalyptic number.

213143034231330 is an abundant number, since it is smaller than the sum of its proper divisors (390668054136798).

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

213143034231330 is a wasteful number, since it uses less digits than its factorization.

213143034231330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262333260.

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 213143034231330 its reverse (33132430341312), we get a palindrome (246275464572642).

The spelling of 213143034231330 in words is "two hundred thirteen trillion, one hundred forty-three billion, thirty-four million, two hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 73 105 106 146 159 210 219 265 318 365 371 438 511 530 730 742 795 1022 1095 1113 1533 1590 1855 2190 2226 2555 3066 3710 3869 5110 5565 7665 7738 11130 11607 15330 19345 23214 27083 38690 54166 58035 81249 116070 135415 162498 270830 406245 812490 262333117 524666234 786999351 1311665585 1573998702 1836331819 2623331170 3672663638 3934996755 5508995457 7869993510 9181659095 11017990914 13903655201 18363318190 19150317541 27544977285 27807310402 38300635082 41710965603 55089954570 57450952623 69518276005 83421931206 95751587705 97325586407 114901905246 134052222787 139036552010 191503175410 194651172814 208554828015 268104445574 287254763115 291976759221 402156668361 417109656030 486627932035 574509526230 583953518442 670261113935 804313336722 973255864070 1014966829673 1340522227870 1459883796105 2010783341805 2029933659346 2919767592210 3044900489019 4021566683610 5074834148365 6089800978038 7104767807711 10149668296730 14209535615422 15224502445095 21314303423133 30449004890190 35523839038555 42628606846266 71047678077110 106571517115665 213143034231330