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1130013201020 = 2251123743300569
BaseRepresentation
bin10000011100011010000…
…010010001001001111100
311000000202120012100111112
4100130122002101021330
5122003231334413040
62223042040341152
7144432531504224
oct20343202211174
94000676170445
101130013201020
113a6265aa1160
121630071747b8
1382737b12c12
143c99b58b084
151e5da836365
hex1071a09127c

1130013201020 has 96 divisors (see below), whose sum is σ = 2704956871680. Its totient is φ = 392517762560.

The previous prime is 1130013201017. The next prime is 1130013201041. The reversal of 1130013201020 is 201023100311.

It is a junction number, because it is equal to n+sod(n) for n = 1130013200986 and 1130013201004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3609296 + ... + 3909864.

It is an arithmetic number, because the mean of its divisors is an integer number (28176634080).

Almost surely, 21130013201020 is an apocalyptic number.

1130013201020 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 1130013201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352478435840).

1130013201020 is an abundant number, since it is smaller than the sum of its proper divisors (1574943670660).

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

1130013201020 is a wasteful number, since it uses less digits than its factorization.

1130013201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301355 (or 301353 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1130013201020 its reverse (201023100311), we get a palindrome (1331036301331).

The spelling of 1130013201020 in words is "one trillion, one hundred thirty billion, thirteen million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 743 1012 1265 1486 2530 2972 3715 5060 7430 8173 14860 16346 17089 32692 34178 40865 68356 81730 85445 163460 170890 187979 300569 341780 375958 601138 751916 939895 1202276 1502845 1879790 3005690 3306259 3759580 6011380 6612518 6913087 13225036 13826174 16531295 27652348 33062590 34565435 66125180 69130870 76043957 138261740 152087914 223322767 304175828 380219785 446645534 760439570 893291068 1116613835 1520879140 2233227670 2456550437 4466455340 4913100874 5136423641 9826201748 10272847282 12282752185 20545694564 24565504370 25682118205 49131008740 51364236410 56500660051 102728472820 113001320102 226002640204 282503300255 565006600510 1130013201020