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1100101100022 = 23412792957557
BaseRepresentation
bin10000000000100011001…
…000101010000111110110
310220011112221022011220000
4100000203020222013312
5121011001340200042
62201213544252130
7142323350030541
oct20004310520766
93804487264800
101100101100022
11394606433a31
12159259771046
137c97ba15682
143b360aa3858
151d9397c174c
hex1002322a1f6

1100101100022 has 80 divisors (see below), whose sum is σ = 2487168668160. Its totient is φ = 363415030272.

The previous prime is 1100101099897. The next prime is 1100101100041. The reversal of 1100101100022 is 2200011010011.

It is a happy number.

It is a super-2 number, since 2×11001011000222 (a number of 25 digits) contains 22 as substring.

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 = 1100101099977 and 1100101100013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19084468 + ... + 19142024.

It is an arithmetic number, because the mean of its divisors is an integer number (31089608352).

Almost surely, 21100101100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100101100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243584334080).

1100101100022 is an abundant number, since it is smaller than the sum of its proper divisors (1387067568138).

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

1100101100022 is a wasteful number, since it uses less digits than its factorization.

1100101100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58627 (or 58618 counting only the distinct ones).

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

Adding to 1100101100022 its reverse (2200011010011), we get a palindrome (3300112110033).

The spelling of 1100101100022 in words is "one trillion, one hundred billion, one hundred one million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 127 162 254 381 762 929 1143 1858 2286 2787 3429 5574 6858 8361 10287 16722 20574 25083 50166 57557 75249 115114 117983 150498 172671 235966 345342 353949 518013 707898 1036026 1061847 1554039 2123694 3108078 3185541 4662117 6371082 7309739 9324234 9556623 14619478 19113246 21929217 43858434 53470453 65787651 106940906 131575302 160411359 197362953 320822718 394725906 481234077 592088859 962468154 1184177718 1443702231 2887404462 4331106693 6790747531 8662213386 13581495062 20372242593 40744485186 61116727779 122233455558 183350183337 366700366674 550050550011 1100101100022