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1111221121100 = 2252176071076869
BaseRepresentation
bin10000001010111001111…
…100001011000001001100
310221020020220120210002112
4100022321330023001030
5121201240101333400
62210253221043152
7143166044453216
oct20127174130114
93836226523075
101111221121100
113992a23983a2
1215b4418564b8
1380a317736bc
143bad78975b6
151dd8ab6c835
hex102b9f0b04c

1111221121100 has 72 divisors (see below), whose sum is σ = 2557402565760. Its totient is φ = 417652485120.

The previous prime is 1111221121099. The next prime is 1111221121163. The reversal of 1111221121100 is 11211221111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493466 + ... + 1570334.

It is an arithmetic number, because the mean of its divisors is an integer number (35519480080).

Almost surely, 21111221121100 is an apocalyptic number.

1111221121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111221121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278701282880).

1111221121100 is an abundant number, since it is smaller than the sum of its proper divisors (1446181444660).

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

1111221121100 is a wasteful number, since it uses less digits than its factorization.

1111221121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077507 (or 1077500 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1111221121100 its reverse (11211221111), we get a palindrome (1122432342211).

It can be divided in two parts, 1111221 and 121100, that added together give a palindrome (1232321).

The spelling of 1111221121100 in words is "one trillion, one hundred eleven billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 607 850 1214 1700 2428 3035 6070 10319 12140 15175 20638 30350 41276 51595 60700 103190 206380 257975 515950 1031900 1076869 2153738 4307476 5384345 10768690 18306773 21537380 26921725 36613546 53843450 73227092 91533865 107686900 183067730 366135460 457669325 653659483 915338650 1307318966 1830677300 2614637932 3268297415 6536594830 11112211211 13073189660 16341487075 22224422422 32682974150 44448844844 55561056055 65365948300 111122112110 222244224220 277805280275 555610560550 1111221121100