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1010223542130 = 2351124148726083
BaseRepresentation
bin11101011001101100000…
…00111110111101110010
310120120120012211011202120
432230312000332331302
5113022414211322010
62052031300255110
7132662165266215
oct16546600767562
93516505734676
101010223542130
1135a484942470
121439559a1496
1374357393a5a
1436c7615977c
151b42907de70
hexeb3603ef72

1010223542130 has 128 divisors (see below), whose sum is σ = 2661479479296. Its totient is φ = 243376358400.

The previous prime is 1010223542117. The next prime is 1010223542171. The reversal of 1010223542130 is 312453220101.

It is a self number, because there is not a number n which added to its sum of digits gives 1010223542130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38718069 + ... + 38744151.

It is an arithmetic number, because the mean of its divisors is an integer number (20792808432).

Almost surely, 21010223542130 is an apocalyptic number.

1010223542130 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 1010223542130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330739739648).

1010223542130 is an abundant number, since it is smaller than the sum of its proper divisors (1651255937166).

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

1010223542130 is a wasteful number, since it uses less digits than its factorization.

1010223542130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26832.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1010223542130 its reverse (312453220101), we get a palindrome (1322676762231).

The spelling of 1010223542130 in words is "one trillion, ten billion, two hundred twenty-three million, five hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 241 330 482 487 723 974 1205 1446 1461 2410 2435 2651 2922 3615 4870 5302 5357 7230 7305 7953 10714 13255 14610 15906 16071 26083 26510 26785 32142 39765 52166 53570 78249 79530 80355 117367 130415 156498 160710 234734 260830 286913 352101 391245 573826 586835 704202 782490 860739 1173670 1291037 1434565 1721478 1760505 2582074 2869130 3521010 3873111 4303695 6286003 6455185 7746222 8607390 12572006 12702421 12910370 18858009 19365555 25404842 31430015 37716018 38107263 38731110 62860030 63512105 69146033 76214526 94290045 127024210 138292066 139726631 188580090 190536315 207438099 279453262 345730165 381072630 414876198 419179893 691460330 698633155 838359786 1037190495 1397266310 2074380990 2095899465 3061283461 4191798930 6122566922 9183850383 15306417305 18367700766 30612834610 33674118071 45919251915 67348236142 91838503830 101022354213 168370590355 202044708426 336741180710 505111771065 1010223542130