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10241632401 = 37111310133767
BaseRepresentation
bin10011000100111001…
…01110100010010001
3222102202102211110120
421202130232202101
5131433324214101
64412133420453
7511540303410
oct114234564221
928382384416
1010241632401
114386153010
121b99a9a729
13c72a90320
146d22a1477
153ee1dcb36
hex26272e891

10241632401 has 64 divisors (see below), whose sum is σ = 18516750336. Its totient is φ = 4862304000.

The previous prime is 10241632397. The next prime is 10241632403. The reversal of 10241632401 is 10423614201.

It is not a de Polignac number, because 10241632401 - 22 = 10241632397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10241632403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286420 + ... + 320186.

It is an arithmetic number, because the mean of its divisors is an integer number (289324224).

Almost surely, 210241632401 is an apocalyptic number.

10241632401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10241632401 is a deficient number, since it is larger than the sum of its proper divisors (8275117935).

10241632401 is a wasteful number, since it uses less digits than its factorization.

10241632401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33902.

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 10241632401 in words is "ten billion, two hundred forty-one million, six hundred thirty-two thousand, four hundred one".

Divisors: 1 3 7 11 13 21 33 39 77 91 101 143 231 273 303 429 707 1001 1111 1313 2121 3003 3333 3939 7777 9191 14443 23331 27573 33767 43329 101101 101301 236369 303303 371437 438971 709107 1114311 1316913 2600059 3072797 3410467 4828681 7800177 9218391 10231401 14486043 23873269 33800767 37515137 44336071 71619807 101402301 112545411 133008213 262605959 310352497 487696781 787817877 931057491 1463090343 3413877467 10241632401