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1103214321040 = 245131497119349
BaseRepresentation
bin10000000011011100101…
…100101001110110010000
310220110120220101012021011
4100003130230221312100
5121033340331233130
62202450515340304
7142463452001626
oct20033454516620
93813526335234
101103214321040
113959637a5a67
121599882b1694
13800569bc3a0
143b57833d516
151da6cc7c52a
hex100dcb29d90

1103214321040 has 80 divisors (see below), whose sum is σ = 2780818110000. Its totient is φ = 404606785536.

The previous prime is 1103214321029. The next prime is 1103214321061. The reversal of 1103214321040 is 401234123011.

It can be written as a sum of positive squares in 8 ways, for example, as 499317477376 + 603896843664 = 706624^2 + 777108^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3404715 + ... + 3714634.

It is an arithmetic number, because the mean of its divisors is an integer number (34760226375).

Almost surely, 21103214321040 is an apocalyptic number.

1103214321040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1103214321040 is an abundant number, since it is smaller than the sum of its proper divisors (1677603788960).

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

1103214321040 is a wasteful number, since it uses less digits than its factorization.

1103214321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7119524 (or 7119518 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1103214321040 its reverse (401234123011), we get a palindrome (1504448444051).

The spelling of 1103214321040 in words is "one trillion, one hundred three billion, two hundred fourteen million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 149 208 260 298 520 596 745 1040 1192 1490 1937 2384 2980 3874 5960 7748 9685 11920 15496 19370 30992 38740 77480 154960 7119349 14238698 28477396 35596745 56954792 71193490 92551537 113909584 142386980 185103074 284773960 370206148 462757685 569547920 740412296 925515370 1060783001 1480824592 1851030740 2121566002 3702061480 4243132004 5303915005 7404122960 8486264008 10607830010 13790179013 16972528016 21215660020 27580358026 42431320040 55160716052 68950895065 84862640080 110321432104 137901790130 220642864208 275803580260 551607160520 1103214321040