Search a number
-
+
20100010111120 = 2451791403631991
BaseRepresentation
bin1001001000111111001011…
…11101100111000010010000
32122011112122021010112202101
410210133211331213002100
510113304310042023440
6110425452301530144
74143114662651602
oct444374575470220
978145567115671
1020100010111120
11644a403779835
122307624873954
13b2a565c23794
144d6bba791172
1524cca9e1b69a
hex1247e5f67090

20100010111120 has 40 divisors (see below), whose sum is σ = 46993599092160. Its totient is φ = 7995087815040.

The previous prime is 20100010110953. The next prime is 20100010111157. The reversal of 20100010111120 is 2111101000102.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 20100010111097 and 20100010111106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 701801676 + ... + 701830315.

It is an arithmetic number, because the mean of its divisors is an integer number (1174839977304).

Almost surely, 220100010111120 is an apocalyptic number.

20100010111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100010111120 is an abundant number, since it is smaller than the sum of its proper divisors (26893588981040).

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

20100010111120 is a wasteful number, since it uses less digits than its factorization.

20100010111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403632183 (or 1403632177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20100010111120 its reverse (2111101000102), we get a palindrome (22211111111222).

The spelling of 20100010111120 in words is "twenty trillion, one hundred billion, ten million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1790 2864 3580 7160 14320 1403631991 2807263982 5614527964 7018159955 11229055928 14036319910 22458111856 28072639820 56145279640 112290559280 251250126389 502500252778 1005000505556 1256250631945 2010001011112 2512501263890 4020002022224 5025002527780 10050005055560 20100010111120