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9913048101 = 3211413377247
BaseRepresentation
bin10010011101101110…
…10001110000100101
3221120212011000112200
421032313101300211
5130300220014401
64315355005113
7500440342605
oct111667216045
927525130480
109913048101
114227725840
121b07a39799
13c1c994a48
146a07aac05
153d0434686
hex24edd1c25

9913048101 has 48 divisors (see below), whose sum is σ = 16051246848. Its totient is φ = 5843174400.

The previous prime is 9913048097. The next prime is 9913048111. The reversal of 9913048101 is 1018403199.

9913048101 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9913048101 - 22 = 9913048097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9913048111) 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, 1364260 + ... + 1371506.

It is an arithmetic number, because the mean of its divisors is an integer number (334400976).

Almost surely, 29913048101 is an apocalyptic number.

It is an amenable number.

9913048101 is a deficient number, since it is larger than the sum of its proper divisors (6138198747).

9913048101 is a wasteful number, since it uses less digits than its factorization.

9913048101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 9913048101 is about 99564.2912946203. The cubic root of 9913048101 is about 2148.1720970744.

The spelling of 9913048101 in words is "nine billion, nine hundred thirteen million, forty-eight thousand, one hundred one".

Divisors: 1 3 9 11 33 41 99 123 337 369 451 1011 1353 3033 3707 4059 7247 11121 13817 21741 33363 41451 65223 79717 124353 151987 239151 297127 455961 717453 891381 1367883 2442239 2674143 3268397 7326717 9805191 21980151 26864629 29415573 80593887 100131799 241781661 300395397 901186191 1101449789 3304349367 9913048101