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100553012424 = 233229162729599
BaseRepresentation
bin101110110100101101…
…1010011010011001000
3100121112201020021200100
41131221123103103020
53121413032344144
6114105440005400
710156540334424
oct1355133232310
9317481207610
10100553012424
113970a610567
12175a3000860
139636266127
144c1c695b84
152937a75269
hex17696d34c8

100553012424 has 96 divisors (see below), whose sum is σ = 281904480000. Its totient is φ = 32340905856.

The previous prime is 100553012423. The next prime is 100553012431. The reversal of 100553012424 is 424210355001.

100553012424 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 530 + 124 + 2 + 4 = 666.

It is a super-2 number, since 2×1005530124242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100553012423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3382377 + ... + 3411975.

It is an arithmetic number, because the mean of its divisors is an integer number (2936505000).

Almost surely, 2100553012424 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 100553012424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140952240000).

100553012424 is an abundant number, since it is smaller than the sum of its proper divisors (181351467576).

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

100553012424 is a wasteful number, since it uses less digits than its factorization.

100553012424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31267 (or 31260 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 100553012424 its reverse (424210355001), we get a palindrome (524763367425).

The spelling of 100553012424 in words is "one hundred billion, five hundred fifty-three million, twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1627 2088 3254 4881 6508 9762 13016 14643 19524 29286 29599 39048 47183 58572 59198 88797 94366 117144 118396 141549 177594 188732 236792 266391 283098 355188 377464 424647 532782 566196 710376 849294 858371 1065564 1132392 1698588 1716742 2131128 2575113 3397176 3433484 5150226 6866968 7725339 10300452 15450678 20600904 30901356 48157573 61802712 96315146 144472719 192630292 288945438 385260584 433418157 577890876 866836314 1155781752 1396569617 1733672628 2793139234 3467345256 4189708851 5586278468 8379417702 11172556936 12569126553 16758835404 25138253106 33517670808 50276506212 100553012424