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10420121504 = 251361410629
BaseRepresentation
bin10011011010001011…
…00110111110100000
3222220012022000111002
421231011212332200
5132320022342004
64441551211132
7516135366662
oct115505467640
928805260432
1010420121504
114467983571
122029816aa8
13ca0a55590
1470bc84532
1540ebe861e
hex26d166fa0

10420121504 has 48 divisors (see below), whose sum is σ = 22454890920. Its totient is φ = 4730434560.

The previous prime is 10420121483. The next prime is 10420121563. The reversal of 10420121504 is 40512102401.

It is a happy number.

10420121504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5748672400 + 4671449104 = 75820^2 + 68348^2 .

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 7 ways as a sum of consecutive naturals, for example, 179939 + ... + 230690.

Almost surely, 210420121504 is an apocalyptic number.

It is an amenable number.

10420121504 is an abundant number, since it is smaller than the sum of its proper divisors (12034769416).

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

10420121504 is a wasteful number, since it uses less digits than its factorization.

10420121504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410713 (or 410705 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 10420121504 its reverse (40512102401), we get a palindrome (50932223905).

The spelling of 10420121504 in words is "ten billion, four hundred twenty million, one hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1586 1952 3172 6344 12688 25376 410629 821258 1642516 3285032 5338177 6570064 10676354 13140128 21352708 25048369 42705416 50096738 85410832 100193476 170821664 200386952 325628797 400773904 651257594 801547808 1302515188 2605030376 5210060752 10420121504