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113001330024 = 233211359397433
BaseRepresentation
bin110100100111101100…
…1110111010101101000
3101210200020221100011100
41221033121313111220
53322411320030044
6123525002401400
711110164312522
oct1511731672550
9353606840140
10113001330024
1143a18339850
1219a97b00260
13a86b25892b
14567da54a12
152e15850869
hex1a4f677568

113001330024 has 96 divisors (see below), whose sum is σ = 334798401600. Its totient is φ = 34147357440.

The previous prime is 113001330019. The next prime is 113001330031. The reversal of 113001330024 is 420033100311.

113001330024 is a `hidden beast` number, since 11 + 300 + 1 + 330 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113001329979 and 113001330006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85612 + ... + 483044.

It is an arithmetic number, because the mean of its divisors is an integer number (3487483350).

Almost surely, 2113001330024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113001330024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167399200800).

113001330024 is an abundant number, since it is smaller than the sum of its proper divisors (221797071576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113001330024 is a wasteful number, since it uses less digits than its factorization.

113001330024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397815 (or 397808 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113001330024 its reverse (420033100311), we get a palindrome (533034430335).

The spelling of 113001330024 in words is "one hundred thirteen billion, one million, three hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 359 396 718 792 1077 1436 2154 2872 3231 3949 4308 6462 7898 8616 11847 12924 15796 23694 25848 31592 35541 47388 71082 94776 142164 284328 397433 794866 1192299 1589732 2384598 3179464 3576897 4371763 4769196 7153794 8743526 9538392 13115289 14307588 17487052 26230578 28615176 34974104 39345867 52461156 78691734 104922312 142678447 157383468 285356894 314766936 428035341 570713788 856070682 1141427576 1284106023 1569462917 1712141364 2568212046 3138925834 3424282728 4708388751 5136424092 6277851668 9416777502 10272848184 12555703336 14125166253 18833555004 28250332506 37667110008 56500665012 113001330024