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1130133313023 = 3111322372712119
BaseRepresentation
bin10000011100100001001…
…100011101010111111111
311000001001221012200012020
4100130201030131113333
5122004003112004043
62223102011011223
7144435520443051
oct20344114352777
94001057180166
101130133313023
113a631787a080
1216303b439b13
1382756978b00
143c9ad4d58d1
151e5e615ee83
hex1072131d5ff

1130133313023 has 96 divisors (see below), whose sum is σ = 1860105461760. Its totient is φ = 603871931520.

The previous prime is 1130133312943. The next prime is 1130133313031. The reversal of 1130133313023 is 3203133310311.

It is not a de Polignac number, because 1130133313023 - 214 = 1130133296639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1130133312984 and 1130133313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130133313093) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93246958 + ... + 93259076.

It is an arithmetic number, because the mean of its divisors is an integer number (19376098560).

Almost surely, 21130133313023 is an apocalyptic number.

1130133313023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1130133313023 is a deficient number, since it is larger than the sum of its proper divisors (729972148737).

1130133313023 is a wasteful number, since it uses less digits than its factorization.

1130133313023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12909 (or 12896 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 1130133313023 its reverse (3203133310311), we get a palindrome (4333266623334).

The spelling of 1130133313023 in words is "one trillion, one hundred thirty billion, one hundred thirty-three million, three hundred thirteen thousand, twenty-three".

Divisors: 1 3 11 13 23 33 39 69 143 169 253 299 429 507 727 759 897 1859 2181 3289 3887 5577 7997 9451 9867 11661 12119 16721 23991 28353 36357 42757 50163 103961 122863 128271 133309 157547 183931 217373 278737 311883 368589 399927 472641 551793 652119 836211 1351493 1733017 2048111 2391103 2825849 3066107 3623581 4054479 5199051 6144333 7173309 8477547 8810513 9198321 10870743 22529221 26431539 31084339 39859391 47106553 67587663 93253017 96915643 114536669 119578173 141319659 202641799 290746929 343610007 518172083 607925397 1259903359 1488976697 1554516249 2229059789 2634343387 3779710077 4466930091 6687179367 7903030161 16378743667 28977777257 34246464031 49136231001 86933331771 102739392093 376711104341 1130133313023