Search a number
-
+
122220212221110 = 235294310487311533
BaseRepresentation
bin11011110010100010011100…
…010101010111010010110110
3121000202010201201202210021210
4123302202130111113102312
5112004423443312033420
61111535105042022250
734513055536530453
oct3362423425272266
9530663651683253
10122220212221110
1135a41334585063
121185b119947986
135327416630953
1422276c016a82a
15e1e3652939e0
hex6f289c5574b6

122220212221110 has 128 divisors (see below), whose sum is σ = 310530710983680. Its totient is φ = 30733344585216.

The previous prime is 122220212221061. The next prime is 122220212221111. The reversal of 122220212221110 is 11122212022221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122220212221111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392162904 + ... + 392474436.

It is an arithmetic number, because the mean of its divisors is an integer number (2426021179560).

Almost surely, 2122220212221110 is an apocalyptic number.

122220212221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122220212221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155265355491840).

122220212221110 is an abundant number, since it is smaller than the sum of its proper divisors (188310498762570).

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

122220212221110 is a wasteful number, since it uses less digits than its factorization.

122220212221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322102.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122220212221110 its reverse (11122212022221), we get a palindrome (133342424243331).

The spelling of 122220212221110 in words is "one hundred twenty-two trillion, two hundred twenty billion, two hundred twelve million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 43 58 86 87 129 145 174 215 258 290 430 435 645 870 1247 1290 2494 3741 6235 7482 10487 12470 18705 20974 31461 37410 52435 62922 104870 157305 304123 311533 314610 450941 608246 623066 901882 912369 934599 1352823 1520615 1557665 1824738 1869198 2254705 2705646 3041230 3115330 4509410 4561845 4672995 6764115 9034457 9123690 9345990 13077289 13395919 13528230 18068914 26154578 26791838 27103371 39231867 40187757 45172285 54206742 65386445 66979595 78463734 80375514 90344570 130772890 133959190 135516855 196159335 200938785 271033710 388481651 392318670 401877570 776963302 1165444953 1942408255 2330889906 3267046571 3884816510 5827224765 6534093142 9801139713 11654449530 16335232855 19602279426 32670465710 49005698565 94744350559 98011397130 140483002553 189488701118 280966005106 284233051677 421449007659 473721752795 568466103354 702415012765 842898015318 947443505590 1404830025530 1421165258385 2107245038295 2842330516770 4074007074037 4214490076590 8148014148074 12222021222111 20370035370185 24444042444222 40740070740370 61110106110555 122220212221110