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20122411040100 = 22325222358234489
BaseRepresentation
bin1001001001101000111010…
…01010010111110101100100
32122020200110102102122101200
410210310131022113311210
510114141144211240400
6110444035155322500
74144540050501465
oct444643512276544
978220412378350
1020122411040100
116458959495286
12230ba368b0430
13b2c6c5b50b45
144d7d03898d6c
1524d66b843b00
hex124d1d297d64

20122411040100 has 54 divisors (see below), whose sum is σ = 63072579496290. Its totient is φ = 5365976277120.

The previous prime is 20122411040057. The next prime is 20122411040129. The reversal of 20122411040100 is 104011422102.

20122411040100 is a `hidden beast` number, since 2 + 0 + 12 + 241 + 10 + 401 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3681056657664 + 16441354382436 = 1918608^2 + 4054794^2 .

It is a super-2 number, since 2×201224110401002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11179116345 + ... + 11179118144.

Almost surely, 220122411040100 is an apocalyptic number.

20122411040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122411040100 is an abundant number, since it is smaller than the sum of its proper divisors (42950168456190).

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

20122411040100 is a wasteful number, since it uses less digits than its factorization.

20122411040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22358234509 (or 22358234499 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20122411040100 its reverse (104011422102), we get a palindrome (20226422462202).

The spelling of 20122411040100 in words is "twenty trillion, one hundred twenty-two billion, four hundred eleven million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 22358234489 44716468978 67074703467 89432937956 111791172445 134149406934 201224110401 223582344890 268298813868 335373517335 402448220802 447164689780 558955862225 670747034670 804896441604 1006120552005 1117911724450 1341494069340 1676867586675 2012241104010 2235823448900 3353735173350 4024482208020 5030602760025 6707470346700 10061205520050 20122411040100