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9910003401 = 3812292
BaseRepresentation
bin10010011101010111…
…01010011011001001
3221120122102100000000
421032223222123021
5130243430102101
64315205433213
7500402432124
oct111653523311
927518370000
109910003401
114225a36261
121b06a0b809
13c1c169c4c
146a02173bb
153d0032486
hex24eaea6c9

9910003401 has 27 divisors (see below), whose sum is σ = 14876354311. Its totient is φ = 6601293288.

The previous prime is 9910003393. The next prime is 9910003427. The reversal of 9910003401 is 1043000199.

The square root of 9910003401 is 99549.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9781407801 + 128595600 = 98901^2 + 11340^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 9910003401 - 23 = 9910003393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9910013401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8062855 + ... + 8064083.

Almost surely, 29910003401 is an apocalyptic number.

9910003401 is the 99549-th square number.

9910003401 is the 49775-th centered octagonal number.

It is an amenable number.

9910003401 is a deficient number, since it is larger than the sum of its proper divisors (4966350910).

9910003401 is an frugal number, since it uses more digits than its factorization.

9910003401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The cubic root of 9910003401 is about 2147.9521442320.

The spelling of 9910003401 in words is "nine billion, nine hundred ten million, three thousand, four hundred one".

Divisors: 1 3 9 27 81 243 729 1229 2187 3687 6561 11061 33183 99549 298647 895941 1510441 2687823 4531323 8063469 13593969 40781907 122345721 367037163 1101111489 3303334467 9910003401