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1102033131030 = 233513359874567
BaseRepresentation
bin10000000010010110010…
…010110001011000010110
310220100112120202112012000
4100002112102301120112
5121023430440143110
62202133402340130
7142422260025156
oct20022622613026
93810476675160
101102033131030
11395407a77477
121596b87ba646
137cbc90827a0
143b4a5508766
151d9ee20a1c0
hex100964b1616

1102033131030 has 128 divisors (see below), whose sum is σ = 3173632358400. Its totient is φ = 270513758592.

The previous prime is 1102033131013. The next prime is 1102033131037. The reversal of 1102033131030 is 301313302011.

It is a happy number.

1102033131030 is a `hidden beast` number, since 1 + 1 + 0 + 20 + 331 + 310 + 3 + 0 = 666.

It is a super-3 number, since 3×11020331310303 (a number of 37 digits) contains 333 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1102033130994 and 1102033131012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102033131037) 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, 822807 + ... + 1697373.

It is an arithmetic number, because the mean of its divisors is an integer number (24794002800).

Almost surely, 21102033131030 is an apocalyptic number.

1102033131030 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 1102033131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586816179200).

1102033131030 is an abundant number, since it is smaller than the sum of its proper divisors (2071599227370).

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

1102033131030 is a wasteful number, since it uses less digits than its factorization.

1102033131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874955 (or 874949 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1102033131030 its reverse (301313302011), we get a palindrome (1403346433041).

The spelling of 1102033131030 in words is "one trillion, one hundred two billion, thirty-three million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 359 390 585 702 718 1077 1170 1755 1795 2154 3231 3510 3590 4667 5385 6462 9334 9693 10770 14001 16155 19386 23335 28002 32310 42003 46670 48465 70005 84006 96930 126009 140010 210015 252018 420030 630045 874567 1260090 1749134 2623701 4372835 5247402 7871103 8745670 11369371 13118505 15742206 22738742 23613309 26237010 34108113 39355515 47226618 56846855 68216226 78711030 102324339 113693710 118066545 170540565 204648678 236133090 306973017 313969553 341081130 511621695 613946034 627939106 941908659 1023243390 1534865085 1569847765 1883817318 2825725977 3069730170 3139695530 4081604189 4709543295 5651451954 8163208378 8477177931 9419086590 12244812567 14128629885 16954355862 20408020945 24489625134 28257259770 36734437701 40816041890 42385889655 61224062835 73468875402 84771779310 110203313103 122448125670 183672188505 220406626206 367344377010 551016565515 1102033131030