Search a number
-
+
101110122021012 = 223133336671942481
BaseRepresentation
bin10110111111010110001000…
…111010000000000010010100
3111021000000220020202020111120
4112333112020322000002110
5101223042012214133022
6555013203202203540
730203652036501156
oct2677261072000224
9437000806666446
10101110122021012
112a24261aa44395
12b40b99b3535b0
134455849c92460
141ad7a82722ad6
15ba518dbd2d5c
hex5bf588e80094

101110122021012 has 48 divisors (see below), whose sum is σ = 254072480918592. Its totient is φ = 31110697520640.

The previous prime is 101110122021001. The next prime is 101110122021019. The reversal of 101110122021012 is 210120221011101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101110122020982 and 101110122021000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110122021019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51080812 + ... + 53023292.

It is an arithmetic number, because the mean of its divisors is an integer number (5293176685804).

Almost surely, 2101110122021012 is an apocalyptic number.

101110122021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101110122021012 is an abundant number, since it is smaller than the sum of its proper divisors (152962358897580).

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

101110122021012 is a wasteful number, since it uses less digits than its factorization.

101110122021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276168 (or 2276166 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101110122021012 its reverse (210120221011101), we get a palindrome (311230343032113).

The spelling of 101110122021012 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty-two million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 333667 667334 1001001 1334668 1942481 2002002 3884962 4004004 4337671 5827443 7769924 8675342 11654886 13013013 17350684 23309772 25252253 26026026 50504506 52052052 75756759 101009012 151513518 303027036 648141807827 1296283615654 1944425423481 2592567231308 3888850846962 7777701693924 8425843501751 16851687003502 25277530505253 33703374007004 50555061010506 101110122021012