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20011001000120 = 23513126131305101
BaseRepresentation
bin1001000110011001011001…
…00110110011000010111000
32121212000220001210012210122
410203030230212303002320
510110330012224000440
6110320532115432412
74133514155001344
oct443145446630270
977760801705718
1020011001000120
116415688419279
1222b23238b5708
13b2204c49b670
144d277530c624
1524a7eaa717b5
hex12332c9b30b8

20011001000120 has 64 divisors (see below), whose sum is σ = 48488738084640. Its totient is φ = 7388594496000.

The previous prime is 20011001000119. The next prime is 20011001000141. The reversal of 20011001000120 is 2100010011002.

It is a super-2 number, since 2×200110010001202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 20011001000098 and 20011001000107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65435570 + ... + 65740670.

Almost surely, 220011001000120 is an apocalyptic number.

20011001000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011001000120 is an abundant number, since it is smaller than the sum of its proper divisors (28477737084520).

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

20011001000120 is a wasteful number, since it uses less digits than its factorization.

20011001000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431256 (or 431252 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20011001000120 its reverse (2100010011002), we get a palindrome (22111011011122).

The spelling of 20011001000120 in words is "twenty trillion, eleven billion, one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 126131 252262 305101 504524 610202 630655 1009048 1220404 1261310 1525505 1639703 2440808 2522620 3051010 3279406 3966313 5045240 6102020 6558812 7932626 8198515 12204040 13117624 15865252 16397030 19831565 31730504 32794060 39663130 65588120 79326260 158652520 38482694231 76965388462 153930776924 192413471155 307861553848 384826942310 500275025003 769653884620 1000550050006 1539307769240 2001100100012 2501375125015 4002200200024 5002750250030 10005500500060 20011001000120