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1030112000320 = 26513219047929
BaseRepresentation
bin11101111110101110111…
…01011011100101000000
310122110220021110112102011
432333113131123211000
5113334132133002240
62105121003102304
7134265064350304
oct16772735334500
93573807415364
101030112000320
11367960407477
12147786511994
13761a6916600
1437c016c7d04
151bbe01156ea
hexefd775b940

1030112000320 has 84 divisors (see below), whose sum is σ = 2656157646780. Its totient is φ = 380349026304.

The previous prime is 1030112000303. The next prime is 1030112000329. The reversal of 1030112000320 is 230002110301.

It can be written as a sum of positive squares in 6 ways, for example, as 492905093184 + 537206907136 = 702072^2 + 732944^2 .

It is a super-2 number, since 2×10301120003202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1030112000320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030112000329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9469885 + ... + 9578044.

Almost surely, 21030112000320 is an apocalyptic number.

1030112000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030112000320 is an abundant number, since it is smaller than the sum of its proper divisors (1626045646460).

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

1030112000320 is a wasteful number, since it uses less digits than its factorization.

1030112000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19047972 (or 19047949 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1030112000320 its reverse (230002110301), we get a palindrome (1260114110621).

The spelling of 1030112000320 in words is "one trillion, thirty billion, one hundred twelve million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 169 208 260 320 338 416 520 676 832 845 1040 1352 1690 2080 2704 3380 4160 5408 6760 10816 13520 27040 54080 19047929 38095858 76191716 95239645 152383432 190479290 247623077 304766864 380958580 495246154 609533728 761917160 990492308 1219067456 1238115385 1523834320 1980984616 2476230770 3047668640 3219100001 3961969232 4952461540 6095337280 6438200002 7923938464 9904923080 12876400004 15847876928 16095500005 19809846160 25752800008 32191000010 39619692320 51505600016 64382000020 79239384640 103011200032 128764000040 206022400064 257528000080 515056000160 1030112000320