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1121140131330 = 2351743490310427
BaseRepresentation
bin10000010100001001001…
…010001100011000000010
310222011212011221201010210
4100110021022030120002
5121332043333200310
62215013351534550
7143666616610332
oct20241112143002
93864764851123
101121140131330
113a252241560a
1216134b68a456
138195274511b
143c398d770c2
151e26b87d820
hex1050928c602

1121140131330 has 128 divisors (see below), whose sum is σ = 2916145317888. Its totient is φ = 274757962752.

The previous prime is 1121140131329. The next prime is 1121140131337. The reversal of 1121140131330 is 331310411211.

It is a junction number, because it is equal to n+sod(n) for n = 1121140131297 and 1121140131306.

It is not an unprimeable number, because it can be changed into a prime (1121140131337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107517577 + ... + 107528003.

It is an arithmetic number, because the mean of its divisors is an integer number (22782385296).

Almost surely, 21121140131330 is an apocalyptic number.

1121140131330 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 1121140131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458072658944).

1121140131330 is an abundant number, since it is smaller than the sum of its proper divisors (1795005186558).

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

1121140131330 is a wasteful number, since it uses less digits than its factorization.

1121140131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15400.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1121140131330 its reverse (331310411211), we get a palindrome (1452450542541).

The spelling of 1121140131330 in words is "one trillion, one hundred twenty-one billion, one hundred forty million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 85 86 102 129 170 215 255 258 430 510 645 731 1290 1462 2193 3655 4386 4903 7310 9806 10427 10965 14709 20854 21930 24515 29418 31281 49030 52135 62562 73545 83351 104270 147090 156405 166702 177259 210829 250053 312810 354518 416755 421658 448361 500106 531777 632487 833510 886295 896722 1054145 1063554 1250265 1264974 1345083 1772590 2108290 2241805 2500530 2658885 2690166 3162435 3584093 4483610 5317770 6324870 6725415 7168186 7622137 10752279 13450830 15244274 17920465 21504558 22866411 35840930 38110685 45732822 51123581 53761395 76221370 102247162 107522790 114332055 153370743 228664110 255617905 306741486 511235810 766853715 869100877 1533707430 1738201754 2198313983 2607302631 4345504385 4396627966 5214605262 6594941949 8691008770 10991569915 13036513155 13189883898 21983139830 26073026310 32974709745 37371337711 65949419490 74742675422 112114013133 186856688555 224228026266 373713377110 560570065665 1121140131330