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232203011020024 = 231171127619472751
BaseRepresentation
bin110100110010111111111001…
…111111001101010011111000
31010110011101120002020000111011
4310302333321333031103320
5220413403231310120044
62141504331324243304
766624054035510122
oct6462777177152370
91113141502200434
10232203011020024
1167a94820223290
12220625ba6a0534
139c7485b023ac5
14414a9857b6212
151bca1ee7d9134
hexd32ff9fcd4f8

232203011020024 has 128 divisors (see below), whose sum is σ = 486228079411200. Its totient is φ = 103073871600000.

The previous prime is 232203011020009. The next prime is 232203011020031. The reversal of 232203011020024 is 420020110302232.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 232203011019977 and 232203011020004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490937649 + ... + 491410399.

It is an arithmetic number, because the mean of its divisors is an integer number (3798656870400).

Almost surely, 2232203011020024 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 232203011020024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243114039705600).

232203011020024 is an abundant number, since it is smaller than the sum of its proper divisors (254025068391176).

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

232203011020024 is a wasteful number, since it uses less digits than its factorization.

232203011020024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473585 (or 473581 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 232203011020024 its reverse (420020110302232), we get a palindrome (652223121322256).

The spelling of 232203011020024 in words is "two hundred thirty-two trillion, two hundred three billion, eleven million, twenty thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 71 88 127 142 254 284 508 568 619 781 1016 1238 1397 1562 2476 2794 3124 4952 5588 6248 6809 9017 11176 13618 18034 27236 36068 43949 54472 72136 78613 87898 99187 157226 175796 198374 314452 351592 396748 472751 483439 628904 793496 864743 945502 966878 1729486 1891004 1933756 3458972 3782008 3867512 5200261 5581523 6917944 10400522 11163046 20801044 22326092 33565321 41602088 44652184 60039377 61396753 67130642 120078754 122793506 134261284 240157508 245587012 268522568 292632869 369218531 480315016 491174024 585265738 660433147 738437062 1170531476 1320866294 1476874124 2341062952 2641732588 2953748248 3218961559 4262795767 5283465176 6437923118 8525591534 12875846236 17051183068 20776933699 25751692472 34102366136 37164374363 41553867398 46890753437 74328748726 83107734796 93781506874 148657497452 166215469592 187563013748 228546270689 297314994904 375126027496 408808117993 457092541378 817616235986 914185082756 1635232471972 1828370165512 2638670579773 3270464943944 5277341159546 10554682319092 21109364638184 29025376377503 58050752755006 116101505510012 232203011020024