Search a number
-
+
101221200022122 = 23237653232746989
BaseRepresentation
bin10111000000111101100101…
…101010111100101001101010
3111021101122121110121100101200
4113000331211222330221222
5101231402004201201442
6555140213301225030
730214663461102045
oct2700754552745152
9437348543540350
10101221200022122
112a285740643704
12b42941b102176
13446316c909b2b
141add1bcb59c5c
15ba7ee076834c
hex5c0f65abca6a

101221200022122 has 48 divisors (see below), whose sum is σ = 225584899623720. Its totient is φ = 32778223814016.

The previous prime is 101221200022099. The next prime is 101221200022207. The reversal of 101221200022122 is 221220002122101.

It is a happy number.

101221200022122 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 200 + 0 + 221 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65902557205521 + 35318642816601 = 8118039^2 + 5942949^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101221200022095 and 101221200022104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115938597 + ... + 116808392.

Almost surely, 2101221200022122 is an apocalyptic number.

101221200022122 is an abundant number, since it is smaller than the sum of its proper divisors (124363699601598).

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

101221200022122 is a wasteful number, since it uses less digits than its factorization.

101221200022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232747687 (or 232747684 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101221200022122 its reverse (221220002122101), we get a palindrome (322441202144223).

The spelling of 101221200022122 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 653 666 1306 1959 3918 5877 11754 24161 48322 72483 144966 217449 434898 232746989 465493978 698240967 1396481934 2094722901 4189445802 8611638593 17223277186 25834915779 51669831558 77504747337 151983783817 155009494674 303967567634 455951351451 911902702902 1367854054353 2735708108706 5623400001229 11246800002458 16870200003687 33740400007374 50610600011061 101221200022122