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1253202621 = 31131243919
BaseRepresentation
bin100101010110010…
…0101101010111101
310020100010021210220
41022230211222331
510031304440441
6324204251553
743025021646
oct11254455275
93210107726
101253202621
11593444750
122ab840bb9
1316c831518
14bc61c6cd
1575049466
hex4ab25abd

1253202621 has 48 divisors (see below), whose sum is σ = 1929438720. Its totient is φ = 717141600.

The previous prime is 1253202593. The next prime is 1253202623. The reversal of 1253202621 is 1262023521.

It is not a de Polignac number, because 1253202621 - 27 = 1253202493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1253202591 and 1253202600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253202623) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1363200 + ... + 1364118.

It is an arithmetic number, because the mean of its divisors is an integer number (40196640).

Almost surely, 21253202621 is an apocalyptic number.

1253202621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1253202621 is a deficient number, since it is larger than the sum of its proper divisors (676236099).

1253202621 is a wasteful number, since it uses less digits than its factorization.

1253202621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1253202621 is about 35400.6019864070. The cubic root of 1253202621 is about 1078.1365388120.

Subtracting 1253202621 from its reverse (1262023521), we obtain a square (8820900 = 29702).

The spelling of 1253202621 in words is "one billion, two hundred fifty-three million, two hundred two thousand, six hundred twenty-one".

Divisors: 1 3 11 31 33 43 93 129 341 473 919 961 1023 1333 1419 2757 2883 3999 10109 10571 14663 28489 30327 31713 39517 41323 43989 85467 118551 123969 313379 434687 454553 883159 940137 1225027 1304061 1363659 2649477 3675081 9714749 13475297 29144247 37975837 40425891 113927511 417734207 1253202621