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1101100100022 = 233137321486557
BaseRepresentation
bin10000000001011110101…
…011100010100110110110
310220021010120002122021000
4100001132223202212312
5121020023111200042
62201501032304130
7142360200265146
oct20013653424666
93807116078230
101101100100022
11394a7933446a
12159498242046
137caaa992630
143b417630926
151d99735674c
hex1005eae29b6

1101100100022 has 64 divisors (see below), whose sum is σ = 2671208890560. Its totient is φ = 334158918912.

The previous prime is 1101100099997. The next prime is 1101100100047. The reversal of 1101100100022 is 2200010011011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1101100099997) and next prime (1101100100047).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1101100099977 and 1101100100013.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10692033 + ... + 10794524.

It is an arithmetic number, because the mean of its divisors is an integer number (41737638915).

Almost surely, 21101100100022 is an apocalyptic number.

1101100100022 is an abundant number, since it is smaller than the sum of its proper divisors (1570108790538).

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

1101100100022 is a wasteful number, since it uses less digits than its factorization.

1101100100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21486654 (or 21486648 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1101100100022 its reverse (2200010011011), we get a palindrome (3301110111033).

The spelling of 1101100100022 in words is "one trillion, one hundred one billion, one hundred million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 73 78 117 146 219 234 351 438 657 702 949 1314 1898 1971 2847 3942 5694 8541 17082 25623 51246 21486557 42973114 64459671 128919342 193379013 279325241 386758026 558650482 580137039 837975723 1160274078 1568518661 1675951446 2513927169 3137037322 4705555983 5027854338 7541781507 9411111966 14116667949 15083563014 20390742593 28233335898 40781485186 42350003847 61172227779 84700007694 122344455558 183516683337 367033366674 550550050011 1101100100022