Search a number
-
+
10023523544001 = 31147113212926863
BaseRepresentation
bin1001000111011100100010…
…0011110110101111000001
31022111020110120221002202210
42101313020203312233001
52303211134011402001
633152424304132333
72053114154230242
oct221671043665701
938436416832683
1010023523544001
113214a52800880
12115a7619070a9
135792a2824026
142691d9380cc9
15125b051bbdd6
hex91dc88f6bc1

10023523544001 has 64 divisors (see below), whose sum is σ = 15029260369920. Its totient is φ = 5890007101440.

The previous prime is 10023523543997. The next prime is 10023523544011. The reversal of 10023523544001 is 10044532532001.

10023523544001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10023523544001 - 22 = 10023523543997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10023523544001.

It is not an unprimeable number, because it can be changed into a prime (10023523544011) 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, 373121496 + ... + 373148358.

It is an arithmetic number, because the mean of its divisors is an integer number (234832193280).

Almost surely, 210023523544001 is an apocalyptic number.

10023523544001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10023523544001 is a deficient number, since it is larger than the sum of its proper divisors (5005736825919).

10023523544001 is a wasteful number, since it uses less digits than its factorization.

10023523544001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29166.

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 10023523544001 in words is "ten trillion, twenty-three billion, five hundred twenty-three million, five hundred forty-four thousand, one".

Divisors: 1 3 11 33 47 113 141 339 517 1243 1551 2129 3729 5311 6387 15933 23419 26863 58421 70257 80589 100063 175263 240577 295493 300189 721731 886479 1100693 1262561 2646347 3035519 3302079 3787683 7939041 9106557 11307119 13888171 33390709 33921357 41664513 57191327 100172127 124378309 142669393 171573981 373134927 428008179 629104597 1569363323 1887313791 2687992369 4708089969 6462619951 8063977107 19387859853 29567916059 71088819461 88703748177 213266458383 303743137697 911229413091 3341174514667 10023523544001