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10103407740 = 22325101555743
BaseRepresentation
bin10010110100011010…
…11100010001111100
3222002010100021212200
421122031130101330
5131142433021430
64350315031500
7505241356146
oct113215342174
928063307780
1010103407740
114315123858
121b5b73b590
13c5025509a
146bbb9dc96
153e1ed7460
hex25a35c47c

10103407740 has 72 divisors (see below), whose sum is σ = 30950494848. Its totient is φ = 2667561600.

The previous prime is 10103407733. The next prime is 10103407763. The reversal of 10103407740 is 4770430101.

10103407740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 259692 + ... + 296051.

It is an arithmetic number, because the mean of its divisors is an integer number (429867984).

Almost surely, 210103407740 is an apocalyptic number.

10103407740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103407740 is an abundant number, since it is smaller than the sum of its proper divisors (20847087108).

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

10103407740 is a wasteful number, since it uses less digits than its factorization.

10103407740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555859 (or 555854 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 10103407740 its reverse (4770430101), we get a palindrome (14873837841).

The spelling of 10103407740 in words is "ten billion, one hundred three million, four hundred seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 555743 1111486 1667229 2222972 2778715 3334458 5001687 5557430 6668916 8336145 10003374 11114860 16672290 20006748 25008435 33344580 50016870 56130043 100033740 112260086 168390129 224520172 280650215 336780258 505170387 561300430 673560516 841950645 1010340774 1122600860 1683901290 2020681548 2525851935 3367802580 5051703870 10103407740