Search a number
-
+
20121121120110 = 2354127160363967
BaseRepresentation
bin1001001001100110100000…
…10001101101111101101110
32122020120010112012220211020
410210303100101231331232
510114131024001320420
6110443303200035010
74144463065403013
oct444632021557556
978216115186736
1020121121120110
1164583573522aa
12230b736902a66
13b2c54b834c8a
144d7c2043d70a
1524d5e3495340
hex124cd046df6e

20121121120110 has 64 divisors (see below), whose sum is σ = 49651053871104. Its totient is φ = 5215446662400.

The previous prime is 20121121119997. The next prime is 20121121120147. The reversal of 20121121120110 is 1102112112102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20121121120110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29848654 + ... + 30515313.

It is an arithmetic number, because the mean of its divisors is an integer number (775797716736).

Almost surely, 220121121120110 is an apocalyptic number.

20121121120110 is an abundant number, since it is smaller than the sum of its proper divisors (29529932750994).

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

20121121120110 is a wasteful number, since it uses less digits than its factorization.

20121121120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60364289.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 20121121120110 its reverse (1102112112102), we get a palindrome (21223233232212).

The spelling of 20121121120110 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 542 615 813 1230 1355 1626 2710 4065 8130 11111 22222 33333 55555 66666 111110 166665 333330 60363967 120727934 181091901 301819835 362183802 603639670 905459505 1810919010 2474922647 4949845294 7424767941 12374613235 14849535882 16358635057 24749226470 32717270114 37123839705 49075905171 74247679410 81793175285 98151810342 163586350570 245379525855 490759051710 670704037337 1341408074674 2012112112011 3353520186685 4024224224022 6707040373370 10060560560055 20121121120110