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1121122201020 = 2235109177796469
BaseRepresentation
bin10000010100001000000…
…101110010110110111100
310222011210221012202101020
4100110020011302312330
5121332024240413040
62215011511344140
7143666311321353
oct20241005626674
93864727182336
101121122201020
113a2513289278
12161345682050
138194bb07a83
143c39682a99a
151e269edacd0
hex10508172dbc

1121122201020 has 96 divisors (see below), whose sum is σ = 3169757236800. Its totient is φ = 296053346304.

The previous prime is 1121122201013. The next prime is 1121122201079. The reversal of 1121122201020 is 201022211211.

It is a super-3 number, since 3×11211222010203 (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11573346 + ... + 11669814.

It is an arithmetic number, because the mean of its divisors is an integer number (33018304550).

Almost surely, 21121122201020 is an apocalyptic number.

1121122201020 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 1121122201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584878618400).

1121122201020 is an abundant number, since it is smaller than the sum of its proper divisors (2048635035780).

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

1121122201020 is a wasteful number, since it uses less digits than its factorization.

1121122201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98367 (or 98365 counting only the distinct ones).

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

Adding to 1121122201020 its reverse (201022211211), we get a palindrome (1322144412231).

It can be divided in two parts, 112112 and 2201020, that added together give a palindrome (2313132).

The spelling of 1121122201020 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 1777 2180 3270 3554 5331 6540 7108 8885 10662 17770 21324 26655 35540 53310 96469 106620 192938 193693 289407 385876 387386 482345 578814 581079 774772 964690 968465 1157628 1162158 1447035 1929380 1936930 2324316 2894070 2905395 3873860 5788140 5810790 10515121 11621580 21030242 31545363 42060484 52575605 63090726 105151210 126181452 157726815 171425413 210302420 315453630 342850826 514276239 630907260 685701652 857127065 1028552478 1714254130 2057104956 2571381195 3428508260 5142762390 10285524780 18685370017 37370740034 56056110051 74741480068 93426850085 112112220102 186853700170 224224440204 280280550255 373707400340 560561100510 1121122201020