Search a number
-
+
12233332202020 = 22519231347157513
BaseRepresentation
bin1011001000000100101101…
…1010111001101000100100
31121022111100221210002111121
42302001023122321220210
53100412331020431040
642003525404543324
72401554243010036
oct262011332715044
947274327702447
1012233332202020
1139971441187a6
121456a9a251b44
136a97a154c507
1430414c8a7c56
1516333c7d2c4a
hexb204b6b9a24

12233332202020 has 144 divisors (see below), whose sum is σ = 28068722615808. Its totient is φ = 4473290396160.

The previous prime is 12233332201969. The next prime is 12233332202023. The reversal of 12233332202020 is 2020223333221.

It is not an unprimeable number, because it can be changed into a prime (12233332202023) by changing a digit.

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, 77586784 + ... + 77744296.

It is an arithmetic number, because the mean of its divisors is an integer number (194921684832).

Almost surely, 212233332202020 is an apocalyptic number.

12233332202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233332202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14034361307904).

12233332202020 is an abundant number, since it is smaller than the sum of its proper divisors (15835390413788).

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

12233332202020 is a wasteful number, since it uses less digits than its factorization.

12233332202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157938 (or 157917 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 12233332202020 its reverse (2020223333221), we get a palindrome (14253555535241).

The spelling of 12233332202020 in words is "twelve trillion, two hundred thirty-three billion, three hundred thirty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 347 361 380 589 620 694 722 1178 1388 1444 1735 1805 2356 2945 3470 3610 5890 6593 6940 7220 10757 11191 11780 13186 21514 22382 26372 32965 43028 44764 53785 55955 65930 107570 111910 125267 131860 157513 204383 215140 223820 250534 315026 408766 501068 626335 630052 787565 817532 1021915 1252670 1575130 2043830 2505340 2992747 3150260 3883277 4087660 4882903 5985494 7766554 9765806 11970988 14963735 15533108 19416385 19531612 24414515 29927470 38832770 48829030 54657011 56862193 59854940 77665540 92775157 97658060 109314022 113724386 185550314 218628044 227448772 273285055 284310965 371100628 463875785 546570110 568621930 927751570 1038483209 1093140220 1137243860 1694367341 1762727983 1855503140 2076966418 3388734682 3525455966 4153932836 5192416045 6777469364 7050911932 8471836705 8813639915 10384832090 16943673410 17627279830 19731180971 20769664180 32192979479 33887346820 35254559660 39462361942 64385958958 78924723884 98655904855 128771917916 160964897395 197311809710 321929794790 394623619420 611666610101 643859589580 1223333220202 2446666440404 3058333050505 6116666101010 12233332202020