Search a number
-
+
20101131120012 = 22341271150759991
BaseRepresentation
bin1001001001000001010001…
…10001111010110110001100
32122011122112101111200212020
410210200220301322312030
510113314104031320022
6110430155425010140
74143154524245235
oct444405061726614
978148471450766
1020101131120012
11644a929533368
122307898183950
13b2a6b424bb57
144d6c855dc08c
1524cd2355235c
hex124828c7ad8c

20101131120012 has 48 divisors (see below), whose sum is σ = 48223900161024. Its totient is φ = 6512831568000.

The previous prime is 20101131119963. The next prime is 20101131120043. The reversal of 20101131120012 is 21002113110102.

It is a junction number, because it is equal to n+sod(n) for n = 20101131119973 and 20101131120000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75246664 + ... + 75513327.

It is an arithmetic number, because the mean of its divisors is an integer number (1004664586688).

Almost surely, 220101131120012 is an apocalyptic number.

It is an amenable number.

20101131120012 is an abundant number, since it is smaller than the sum of its proper divisors (28122769041012).

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

20101131120012 is a wasteful number, since it uses less digits than its factorization.

20101131120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150760310 (or 150760308 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 20101131120012 its reverse (21002113110102), we get a palindrome (41103244230114).

The spelling of 20101131120012 in words is "twenty trillion, one hundred one billion, one hundred thirty-one million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 271 492 542 813 1084 1626 3252 11111 22222 33333 44444 66666 133332 150759991 301519982 452279973 603039964 904559946 1809119892 6181159631 12362319262 18543478893 24724638524 37086957786 40855957561 74173915572 81711915122 122567872683 163423830244 245135745366 490271490732 1675094260001 3350188520002 5025282780003 6700377040004 10050565560006 20101131120012