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1122101222010 = 235537011006739
BaseRepresentation
bin10000010101000010011…
…100011101101001111010
310222021100011102011200220
4100111002130131221322
5121341030403101020
62215253003240510
7144032500005066
oct20250234355172
93867304364626
101122101222010
113a297598322a
12161579519136
1381a768ab032
143c44a876aa6
151e2c5e26240
hex1054271da7a

1122101222010 has 64 divisors (see below), whose sum is σ = 2747771994240. Its totient is φ = 293162105600.

The previous prime is 1122101221993. The next prime is 1122101222093. The reversal of 1122101222010 is 102221012211.

It is a super-2 number, since 2×11221012220102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon 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, 611221 + ... + 1617959.

It is an arithmetic number, because the mean of its divisors is an integer number (42933937410).

Almost surely, 21122101222010 is an apocalyptic number.

1122101222010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122101222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373885997120).

1122101222010 is an abundant number, since it is smaller than the sum of its proper divisors (1625670772230).

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

1122101222010 is a wasteful number, since it uses less digits than its factorization.

1122101222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007503.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1122101222010 its reverse (102221012211), we get a palindrome (1224322234221).

The spelling of 1122101222010 in words is "one trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 701 795 1402 1590 2103 3505 4206 7010 10515 21030 37153 74306 111459 185765 222918 371530 557295 1006739 1114590 2013478 3020217 5033695 6040434 10067390 15101085 30202170 53357167 106714334 160071501 266785835 320143002 533571670 705724039 800357505 1411448078 1600715010 2117172117 3528620195 4234344234 7057240390 10585860585 21171721170 37403374067 74806748134 112210122201 187016870335 224420244402 374033740670 561050611005 1122101222010