Search a number
-
+
1032121332120 = 2335311419719543
BaseRepresentation
bin11110000010011110011…
…10011011000110011000
310122200002022101011110110
433001033032123012120
5113402241030111440
62110052222044320
7134365633366434
oct17011716330630
93580068334413
101032121332120
113687a164816a
121480474196a0
1376436caa338
1437d524d19c4
151bcab71d080
hexf04f39b198

1032121332120 has 128 divisors (see below), whose sum is σ = 3196635402240. Its totient is φ = 266321502720.

The previous prime is 1032121332001. The next prime is 1032121332157. The reversal of 1032121332120 is 212331212301.

1032121332120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52803069 + ... + 52822611.

It is an arithmetic number, because the mean of its divisors is an integer number (24973714080).

Almost surely, 21032121332120 is an apocalyptic number.

1032121332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032121332120 is an abundant number, since it is smaller than the sum of its proper divisors (2164514070120).

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

1032121332120 is a wasteful number, since it uses less digits than its factorization.

1032121332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33785 (or 33781 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1032121332120 its reverse (212331212301), we get a palindrome (1244452544421).

The spelling of 1032121332120 in words is "one trillion, thirty-two billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 14197 19543 28394 39086 42591 56788 58629 70985 78172 85182 97715 113576 117258 141970 156344 170364 195430 212955 234516 283940 293145 340728 390860 425910 440107 469032 567880 586290 605833 781720 851820 880214 1172580 1211666 1320321 1703640 1760428 1817499 2200535 2345160 2423332 2640642 3029165 3520856 3634998 4401070 4846664 5281284 6058330 6601605 7269996 8802140 9087495 10562568 12116660 13203210 14539992 17604280 18174990 24233320 26406420 36349980 52812840 72699960 277451971 554903942 832355913 1109807884 1387259855 1664711826 2219615768 2774519710 3329423652 4161779565 5549039420 6658847304 8323559130 8601011101 11098078840 16647118260 17202022202 25803033303 33294236520 34404044404 43005055505 51606066606 68808088808 86010111010 103212133212 129015166515 172020222020 206424266424 258030333030 344040444040 516060666060 1032121332120