Search a number
-
+
122210002222002 = 232181195136915209
BaseRepresentation
bin11011110010011000111011…
…110001010011101110110010
3121000201011101011212002112200
4123302120323301103232302
5112004242041032101002
61111530255554204030
734512244532134302
oct3362307361235662
9530634334762480
10122210002222002
1135a37a75278672
121185914a583616
13532647a297b66
142226dd2181602
15e1de68c53b1c
hex6f263bc53bb2

122210002222002 has 96 divisors (see below), whose sum is σ = 266511052254720. Its totient is φ = 40472097120000.

The previous prime is 122210002221973. The next prime is 122210002222013. The reversal of 122210002222002 is 200222200012221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23461314774 + ... + 23461319982.

It is an arithmetic number, because the mean of its divisors is an integer number (2776156794320).

Almost surely, 2122210002222002 is an apocalyptic number.

122210002222002 is an abundant number, since it is smaller than the sum of its proper divisors (144301050032718).

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

122210002222002 is a wasteful number, since it uses less digits than its factorization.

122210002222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11040 (or 11037 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122210002222002 its reverse (200222200012221), we get a palindrome (322432202234223).

The spelling of 122210002222002 in words is "one hundred twenty-two trillion, two hundred ten billion, two million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 181 362 543 1086 1629 1951 3258 3691 3902 5209 5853 7382 10418 11073 11706 15627 17559 22146 31254 33219 35118 46881 66438 93762 353131 668071 706262 942829 1059393 1336142 1885658 2004213 2118786 2828487 3178179 4008426 5656974 6012639 6356358 7201141 8485461 10162759 12025278 14402282 16970922 19226419 20325518 21603423 30488277 38452838 43206846 57679257 60976554 64810269 91464831 115358514 129620538 173037771 182929662 346075542 1303406521 1839459379 2606813042 3479981839 3678918758 3910219563 5518378137 6959963678 7820439126 10439945517 11036756274 11730658689 16555134411 20879891034 23461317378 31319836551 33110268822 37510743469 62639673102 75021486938 112532230407 225064460814 337596691221 675193382442 6789444567889 13578889135778 20368333703667 40736667407334 61105001111001 122210002222002