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1121113130202 = 2341310128118757
BaseRepresentation
bin10000010100000111100…
…011001100010011011010
310222011210022010220120000
4100110013203030103122
5121332014430131302
62215010545113430
7143666141242002
oct20240743142332
93864708126500
101121113130202
113a250915322a
12161342628876
1381949c80120
143c395549002
151e2692e831c
hex105078cc4da

1121113130202 has 160 divisors (see below), whose sum is σ = 2742019079184. Its totient is φ = 340308864000.

The previous prime is 1121113130183. The next prime is 1121113130209. The reversal of 1121113130202 is 2020313111211.

It can be written as a sum of positive squares in 8 ways, for example, as 817127410401 + 303985719801 = 903951^2 + 551349^2 .

It is a super-2 number, since 2×11211131302022 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1121113130209) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 59761008 + ... + 59779764.

Almost surely, 21121113130202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121113130202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371009539592).

1121113130202 is an abundant number, since it is smaller than the sum of its proper divisors (1620905948982).

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

1121113130202 is a wasteful number, since it uses less digits than its factorization.

1121113130202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19166 (or 19157 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1121113130202 its reverse (2020313111211), we get a palindrome (3141426241413).

The spelling of 1121113130202 in words is "one trillion, one hundred twenty-one billion, one hundred thirteen million, one hundred thirty thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 101 117 162 202 234 281 303 351 562 606 702 843 909 1053 1313 1686 1818 2106 2529 2626 2727 3653 3939 5058 5454 7306 7587 7878 8181 10959 11817 15174 16362 18757 21918 22761 23634 28381 32877 35451 37514 45522 56271 56762 65754 70902 85143 98631 106353 112542 168813 170286 197262 212706 243841 255429 295893 337626 368953 487682 506439 510858 591786 731523 737906 766287 1012878 1106859 1463046 1519317 1532574 1894457 2194569 2213718 2298861 3038634 3320577 3788914 4389138 4597722 5270717 5683371 6583707 6641154 9961731 10541434 11366742 13167414 15812151 17050113 19751121 19923462 24627941 29885193 31624302 34100226 39502242 47436453 49255882 51150339 59770386 68519321 73883823 94872906 102300678 137038642 142309359 147767646 153451017 205557963 221651469 284618718 306902034 411115926 426928077 443302938 532342417 616673889 664954407 853856154 1064684834 1233347778 1329908814 1597027251 1850021667 1994863221 3194054502 3700043334 3989726442 4791081753 5550065001 6920451421 9582163506 11100130002 13840902842 14373245259 20761354263 28746490518 41522708526 43119735777 62284062789 86239471554 124568125578 186852188367 373704376734 560556565101 1121113130202