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1010111031320 = 23517310150891
BaseRepresentation
bin11101011001011110100…
…11110010100000011000
310120120021101010000221112
432230233103302200120
5113022201411000240
62052012200555452
7132656331046316
oct16545723624030
93516241100845
101010111031320
1135a427386426
12143924182b88
1374339c8c901
1436c6522d0b6
151b41e257665
hexeb2f4f2818

1010111031320 has 128 divisors (see below), whose sum is σ = 2438724283200. Its totient is φ = 376504576000.

The previous prime is 1010111031301. The next prime is 1010111031323. The reversal of 1010111031320 is 231301110101.

It is a happy number.

1010111031320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1010111031295 and 1010111031304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010111031323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19823075 + ... + 19873965.

Almost surely, 21010111031320 is an apocalyptic number.

1010111031320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010111031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219362141600).

1010111031320 is an abundant number, since it is smaller than the sum of its proper divisors (1428613251880).

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

1010111031320 is a wasteful number, since it uses less digits than its factorization.

1010111031320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51054 (or 51016 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1010111031320 its reverse (231301110101), we get a palindrome (1241412141421).

The spelling of 1010111031320 in words is "one trillion, ten billion, one hundred eleven million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 101 136 170 202 289 340 404 505 578 680 808 1010 1156 1445 1717 2020 2312 2890 3434 4040 4913 5780 6868 8585 9826 11560 13736 17170 19652 24565 29189 34340 39304 49130 50891 58378 68680 98260 101782 116756 145945 196520 203564 233512 254455 291890 407128 496213 508910 583780 865147 992426 1017820 1167560 1730294 1984852 2035640 2481065 3460588 3969704 4325735 4962130 5139991 6921176 8651470 9924260 10279982 14707499 17302940 19848520 20559964 25699955 29414998 34605880 41119928 51399910 58829996 73537495 87379847 102799820 117659992 147074990 174759694 205599640 250027483 294149980 349519388 436899235 500054966 588299960 699038776 873798470 1000109932 1250137415 1485457399 1747596940 2000219864 2500274830 2970914798 3495193880 5000549660 5941829596 7427286995 10001099320 11883659192 14854573990 25252775783 29709147980 50505551566 59418295960 101011103132 126263878915 202022206264 252527757830 505055515660 1010111031320