Search a number
-
+
1032011312220 = 2232571575216921
BaseRepresentation
bin11110000010010001010…
…10101110110001011100
310122122210122100120112100
433001020222232301130
5113402024343442340
62110033252005100
7134363126262630
oct17011052566134
93578718316470
101032011312220
11368745532629
12148016600790
137641a268bc5
1437d41a52dc0
151bca1c39830
hexf048aaec5c

1032011312220 has 144 divisors (see below), whose sum is σ = 3600427416768. Its totient is φ = 234385781760.

The previous prime is 1032011312197. The next prime is 1032011312257. The reversal of 1032011312220 is 222131102301.

1032011312220 is a `hidden beast` number, since 1 + 0 + 320 + 11 + 312 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1032011312193 and 1032011312202.

It is a congruent number.

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, 2410641 + ... + 2806280.

It is an arithmetic number, because the mean of its divisors is an integer number (25002968172).

Almost surely, 21032011312220 is an apocalyptic number.

1032011312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032011312220 is an abundant number, since it is smaller than the sum of its proper divisors (2568416104548).

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

1032011312220 is a wasteful number, since it uses less digits than its factorization.

1032011312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217100 (or 5217095 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1032011312220 its reverse (222131102301), we get a palindrome (1254142414521).

The spelling of 1032011312220 in words is "one trillion, thirty-two billion, eleven million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 157 180 210 252 314 315 420 471 628 630 785 942 1099 1260 1413 1570 1884 2198 2355 2826 3140 3297 4396 4710 5495 5652 6594 7065 9420 9891 10990 13188 14130 16485 19782 21980 28260 32970 39564 49455 65940 98910 197820 5216921 10433842 15650763 20867684 26084605 31301526 36518447 46952289 52169210 62603052 73036894 78253815 93904578 104338420 109555341 146073788 156507630 182592235 187809156 219110682 234761445 313015260 328666023 365184470 438221364 469522890 547776705 657332046 730368940 819056597 939045780 1095553410 1314664092 1638113194 1643330115 2191106820 2457169791 3276226388 3286660230 4095282985 4914339582 5733396179 6573320460 7371509373 8190565970 9828679164 11466792358 12285848955 14743018746 16381131940 17200188537 22933584716 24571697910 28666980895 29486037492 34400377074 36857546865 49143395820 51600565611 57333961790 68800754148 73715093730 86000942685 103201131222 114667923580 147430187460 172001885370 206402262444 258002828055 344003770740 516005656110 1032011312220