Search a number
-
+
1121011111000 = 235311101910101
BaseRepresentation
bin10000010100000001011…
…110000001010001011000
310222011112012011210112001
4100110001132001101120
5121331312321023000
62214552502330344
7143663462136634
oct20240136012130
93864465153461
101121011111000
113a2466602740
121613144299b4
1381931ab0531
143c385b8ddc4
151e26039546a
hex10501781458

1121011111000 has 64 divisors (see below), whose sum is σ = 2861635664160. Its totient is φ = 407640400000.

The previous prime is 1121011110949. The next prime is 1121011111009. The reversal of 1121011111000 is 1111101211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121011111009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50944051 + ... + 50966050.

Almost surely, 21121011111000 is an apocalyptic number.

1121011111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121011111000 is an abundant number, since it is smaller than the sum of its proper divisors (1740624553160).

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

1121011111000 is a wasteful number, since it uses less digits than its factorization.

1121011111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101910133 (or 101910119 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1121011111000 its reverse (1111101211), we get a palindrome (1122122212211).

The spelling of 1121011111000 in words is "one trillion, one hundred twenty-one billion, eleven million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 101910101 203820202 407640404 509550505 815280808 1019101010 1121011111 2038202020 2242022222 2547752525 4076404040 4484044444 5095505050 5605055555 8968088888 10191010100 11210111110 12738762625 20382020200 22420222220 25477525250 28025277775 44840444440 50955050500 56050555550 101910101000 112101111100 140126388875 224202222200 280252777750 560505555500 1121011111000