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101112012020 = 22543131897497
BaseRepresentation
bin101111000101010111…
…1101101110011110100
3100122222200002101222002
41132022233231303310
53124034133341040
6114241125154432
710206435631025
oct1361257556364
9318880071862
10101112012020
11399771051a8
121771a25ba18
1396c5007a16
144c72a08c4c
15296bb94a15
hex178abedcf4

101112012020 has 48 divisors (see below), whose sum is σ = 218932072128. Its totient is φ = 39202625280.

The previous prime is 101112012013. The next prime is 101112012031. The reversal of 101112012020 is 20210211101.

It is a junction number, because it is equal to n+sod(n) for n = 101112011992 and 101112012010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336089 + ... + 561408.

It is an arithmetic number, because the mean of its divisors is an integer number (4561084836).

Almost surely, 2101112012020 is an apocalyptic number.

101112012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112012020 is an abundant number, since it is smaller than the sum of its proper divisors (117820060108).

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

101112012020 is a wasteful number, since it uses less digits than its factorization.

101112012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897680 (or 897678 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101112012020 its reverse (20210211101), we get a palindrome (121322223121).

The spelling of 101112012020 in words is "one hundred one billion, one hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 131 172 215 262 430 524 655 860 1310 2620 5633 11266 22532 28165 56330 112660 897497 1794994 3589988 4487485 8974970 17949940 38592371 77184742 117572107 154369484 192961855 235144214 385923710 470288428 587860535 771847420 1175721070 2351442140 5055600601 10111201202 20222402404 25278003005 50556006010 101112012020