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103202625344 = 2671317720231
BaseRepresentation
bin110000000011101011…
…0110001011101000000
3100212101100221120022012
41200013112301131000
53142324333002334
6115224410232052
710312312561430
oct1400726613500
9325340846265
10103202625344
113a84a211a05
1218002425628
13996918a220
144dd05302c0
152a404a59ce
hex18075b1740

103202625344 has 56 divisors (see below), whose sum is σ = 252052579968. Its totient is φ = 40827409920.

The previous prime is 103202625343. The next prime is 103202625353. The reversal of 103202625344 is 443526202301.

103202625344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1032026253442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 103202625344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103202625343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8854292 + ... + 8865939.

It is an arithmetic number, because the mean of its divisors is an integer number (4500938928).

Almost surely, 2103202625344 is an apocalyptic number.

103202625344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103202625344 is an abundant number, since it is smaller than the sum of its proper divisors (148849954624).

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

103202625344 is a wasteful number, since it uses less digits than its factorization.

103202625344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17720263 (or 17720253 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 103202625344 its reverse (443526202301), we get a palindrome (546728827645).

The spelling of 103202625344 in words is "one hundred three billion, two hundred two million, six hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 17720231 35440462 70880924 124041617 141761848 230363003 248083234 283523696 460726006 496166468 567047392 921452012 992332936 1134094784 1612541021 1842904024 1984665872 3225082042 3685808048 3969331744 6450164084 7371616096 7938663488 12900328168 14743232192 25800656336 51601312672 103202625344