Search a number
-
+
220202220120012 = 2232132963688323071
BaseRepresentation
bin110010000100010111010011…
…000110111110011111001100
31001212200010102022221000211200
4302010113103012332133030
5212330243121322320022
62100155300422345500
764245041202111504
oct6204272306763714
91055603368830750
10220202220120012
1164188267663609
12208447b9b8b290
1395b3c98819360
143c53bb6b5aa04
151a6ce7223cbac
hexc845d31be7cc

220202220120012 has 144 divisors (see below), whose sum is σ = 599754799408128. Its totient is φ = 67718886606720.

The previous prime is 220202220119993. The next prime is 220202220120049. The reversal of 220202220120012 is 210021022202022.

220202220120012 is a `hidden beast` number, since 220 + 20 + 2 + 220 + 1 + 200 + 1 + 2 = 666.

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, 9544534437 + ... + 9544557507.

Almost surely, 2220202220120012 is an apocalyptic number.

It is an amenable number.

220202220120012 is an abundant number, since it is smaller than the sum of its proper divisors (379552579288116).

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

220202220120012 is a wasteful number, since it uses less digits than its factorization.

220202220120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32940 (or 32935 counting only the distinct ones).

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

Adding to 220202220120012 its reverse (210021022202022), we get a palindrome (430223242322034).

The spelling of 220202220120012 in words is "two hundred twenty trillion, two hundred two billion, two hundred twenty million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2963 5926 6883 8889 11852 13766 17778 20649 23071 26667 27532 35556 38519 41298 46142 53334 61947 69213 77038 82596 89479 92284 106668 115557 123894 138426 154076 178958 207639 231114 247788 268437 276852 299923 346671 357916 415278 462228 536874 599846 693342 805311 830556 899769 1073748 1199692 1386684 1610622 1799538 2699307 3221244 3599076 5398614 10797228 20394329 40788658 61182987 68359373 81577316 122365974 136718746 158797693 183548961 205078119 244731948 265126277 273437492 317595386 367097922 410156238 476393079 530252554 615234357 635190772 734195844 795378831 820312476 888671849 952786158 1060505108 1230468714 1429179237 1590757662 1777343698 1905572316 2064370009 2386136493 2460937428 2666015547 2858358474 3181515324 3554687396 4128740018 4772272986 5332031094 5716716948 6193110027 7998046641 8257480036 9544545972 10664062188 12386220054 15996093282 18579330081 24772440108 31992186564 37158660162 74317320324 470517564359 941035128718 1411552693077 1882070257436 2823105386154 4234658079231 5646210772308 6116728336667 8469316158462 12233456673334 16938632316924 18350185010001 24466913346668 36700370020002 55050555030003 73400740040004 110101110060006 220202220120012