Search a number
-
+
1121201011020 = 223547931142701
BaseRepresentation
bin10000010100001100110…
…010011011100101001100
310222012000102111201101010
4100110030302123211030
5121332204424323040
62215023404445220
7144001256230206
oct20241462334514
93865012451333
101121201011020
113a2553817402
12161367b49810
138196223c5cc
143c3a30a3776
151e271da6e80
hex1050cc9b94c

1121201011020 has 96 divisors (see below), whose sum is σ = 3206577217536. Its totient is φ = 292587232000.

The previous prime is 1121201010991. The next prime is 1121201011039. The reversal of 1121201011020 is 201101021211.

It is a super-2 number, since 2×11212010110202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1121201010987 and 1121201011005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26235670 + ... + 26278370.

It is an arithmetic number, because the mean of its divisors is an integer number (33401846016).

Almost surely, 21121201011020 is an apocalyptic number.

1121201011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121201011020 is an abundant number, since it is smaller than the sum of its proper divisors (2085376206516).

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

1121201011020 is a wasteful number, since it uses less digits than its factorization.

1121201011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52071 (or 52069 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1121201011020 its reverse (201101021211), we get a palindrome (1322302032231).

The spelling of 1121201011020 in words is "one trillion, one hundred twenty-one billion, two hundred one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 9311 18622 27933 37244 42701 46555 55866 85402 93110 111732 128103 139665 170804 186220 213505 256206 279330 427010 437617 512412 558660 640515 854020 875234 1281030 1312851 1750468 2006947 2188085 2562060 2625702 4013894 4376170 5251404 6020841 6564255 8027788 8752340 10034735 12041682 13128510 20069470 24083364 26257020 30104205 40138940 60208410 120416820 397589011 795178022 1192767033 1590356044 1987945055 2385534066 3975890110 4771068132 5963835165 7951780220 11927670330 18686683517 23855340660 37373367034 56060050551 74746734068 93433417585 112120101102 186866835170 224240202204 280300252755 373733670340 560600505510 1121201011020