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20101202221120 = 265379911653451
BaseRepresentation
bin1001001001000001011010…
…00001001001100001000000
32122011122201100022000020121
410210200231001021201000
510113314230232033440
6110430210444550024
74143156346506136
oct444405501114100
978148640260217
1020101202221120
11644a965686709
1223078b7b52314
13b2a6c5bb4907
144d6c90c29756
1524cd298e934a
hex12482d049840

20101202221120 has 56 divisors (see below), whose sum is σ = 47867276668608. Its totient is φ = 8040264384000.

The previous prime is 20101202221021. The next prime is 20101202221123. The reversal of 20101202221120 is 2112220210102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20101202221094 and 20101202221103.

It is not an unprimeable number, because it can be changed into a prime (20101202221123) 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 7 ways as a sum of consecutive naturals, for example, 11330395 + ... + 12983845.

Almost surely, 220101202221120 is an apocalyptic number.

20101202221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101202221120 is an abundant number, since it is smaller than the sum of its proper divisors (27766074447488).

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

20101202221120 is a wasteful number, since it uses less digits than its factorization.

20101202221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691459 (or 1691449 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20101202221120 its reverse (2112220210102), we get a palindrome (22213422431222).

The spelling of 20101202221120 in words is "twenty trillion, one hundred one billion, two hundred two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 37991 75982 151964 189955 303928 379910 607856 759820 1215712 1519640 1653451 2431424 3039280 3306902 6078560 6613804 8267255 12157120 13227608 16534510 26455216 33069020 52910432 66138040 105820864 132276080 264552160 529104320 62816256941 125632513882 251265027764 314081284705 502530055528 628162569410 1005060111056 1256325138820 2010120222112 2512650277640 4020240444224 5025300555280 10050601110560 20101202221120