Search a number
-
+
141221223222210 = 23252971297589809
BaseRepresentation
bin100000000111000010100000…
…110110000100101111000010
3200112000121122212012001020200
4200013002200312010233002
5122002232031121102320
61220204045002550030
741513616363303405
oct4007024066045702
9615017585161220
10141221223222210
1140aa76479742aa
1213a09751b08316
1360a5147c38451
1426c3202353d3c
15114d74c519290
hex8070a0d84bc2

141221223222210 has 96 divisors (see below), whose sum is σ = 379889724006000. Its totient is φ = 36355301756928.

The previous prime is 141221223222187. The next prime is 141221223222323. The reversal of 141221223222210 is 12222322122141.

141221223222210 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 2 + 1 + 223 + 222 + 210 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 69536536066449 + 71684687155761 = 8338857^2 + 8466681^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14811786 + ... + 22401594.

Almost surely, 2141221223222210 is an apocalyptic number.

141221223222210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141221223222210 is an abundant number, since it is smaller than the sum of its proper divisors (238668500783790).

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

141221223222210 is a wasteful number, since it uses less digits than its factorization.

141221223222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7596980 (or 7596977 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 141221223222210 its reverse (12222322122141), we get a palindrome (153443545344351).

The spelling of 141221223222210 in words is "one hundred forty-one trillion, two hundred twenty-one billion, two hundred twenty-three million, two hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 7129 14258 21387 35645 42774 64161 71290 106935 128322 206741 213870 320805 413482 620223 641610 1033705 1240446 1860669 2067410 3101115 3721338 6202230 7589809 9303345 15179618 18606690 22769427 37949045 45538854 68308281 75898090 113847135 136616562 220104461 227694270 341541405 440208922 660313383 683082810 1100522305 1320626766 1980940149 2201044610 3301566915 3961880298 6603133830 9904700745 19809401490 54107748361 108215496722 162323245083 270538741805 324646490166 486969735249 541077483610 811616225415 973939470498 1569124702469 1623232450830 2434848676245 3138249404938 4707374107407 4869697352490 7845623512345 9414748214814 14122122322221 15691247024690 23536870537035 28244244644442 47073741074070 70610611611105 141221223222210