Search a number
-
+
121111000020 = 223252923201341
BaseRepresentation
bin111000011001011000…
…1110011001111010100
3102120121102201021000100
41300302301303033110
53441013404000040
6131345421014100
711515146341343
oct1606261631724
9376542637010
10121111000020
11473aa00295a
121b57b9b4330
13b561419b2a
145c0cb09b5a
15323c7b0b30
hex1c32c733d4

121111000020 has 72 divisors (see below), whose sum is σ = 380037981960. Its totient is φ = 31182600960.

The previous prime is 121111000009. The next prime is 121111000051. The reversal of 121111000020 is 20000111121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7156144836 + 113954855184 = 84594^2 + 337572^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121110999966 and 121111000011.

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 23 ways as a sum of consecutive naturals, for example, 11595451 + ... + 11605890.

It is an arithmetic number, because the mean of its divisors is an integer number (5278305305).

Almost surely, 2121111000020 is an apocalyptic number.

121111000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121111000020 is an abundant number, since it is smaller than the sum of its proper divisors (258926981940).

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

121111000020 is a wasteful number, since it uses less digits than its factorization.

121111000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23201385 (or 23201380 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121111000020 its reverse (20000111121), we get a palindrome (141111111141).

The spelling of 121111000020 in words is "one hundred twenty-one billion, one hundred eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 23201341 46402682 69604023 92805364 116006705 139208046 208812069 232013410 278416092 348020115 417624138 464026820 672838889 696040230 835248276 1044060345 1345677778 1392080460 2018516667 2088120690 2691355556 3364194445 4037033334 4176241380 6055550001 6728388890 8074066668 10092583335 12111100002 13456777780 20185166670 24222200004 30277750005 40370333340 60555500010 121111000020