Search a number
-
+
1220120212194 = 232133231341443
BaseRepresentation
bin10001110000010100110…
…101001111001011100010
311022122100021102210100200
4101300110311033023202
5124442301233242234
62332303202330030
7154102500453552
oct21602465171342
94278307383320
101220120212194
114304a5062334
12178573959916
138b097b62000
14430a8783162
1521b1129ed99
hex11c14d4f2e2

1220120212194 has 96 divisors (see below), whose sum is σ = 2988307969920. Its totient is φ = 359098657632.

The previous prime is 1220120212183. The next prime is 1220120212211. The reversal of 1220120212194 is 4912120210221.

It is a super-3 number, since 3×12201202121943 (a number of 37 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 238837 + ... + 1580279.

It is an arithmetic number, because the mean of its divisors is an integer number (31128208020).

Almost surely, 21220120212194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220120212194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494153984960).

1220120212194 is an abundant number, since it is smaller than the sum of its proper divisors (1768187757726).

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

1220120212194 is a wasteful number, since it uses less digits than its factorization.

1220120212194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341513 (or 1341484 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1220120212194 in words is "one trillion, two hundred twenty billion, one hundred twenty million, two hundred twelve thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 169 207 234 299 338 414 507 598 897 1014 1521 1794 2197 2691 3042 3887 4394 5382 6591 7774 11661 13182 19773 23322 34983 39546 50531 69966 101062 151593 303186 454779 909558 1341443 2682886 4024329 8048658 12072987 17438759 24145974 30853189 34877518 52316277 61706378 92559567 104632554 156948831 185119134 226703867 277678701 313897662 401091457 453407734 555357402 680111601 802182914 1203274371 1360223202 2040334803 2406548742 2947150271 3609823113 4080669606 5214188941 5894300542 7219646226 8841450813 10428377882 15642566823 17682901626 26524352439 31285133646 46927700469 53048704878 67784456233 93855400938 135568912466 203353368699 406706737398 610060106097 1220120212194