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23231020032 = 2103211229157
BaseRepresentation
bin10101101000101011…
…010011110000000000
32012222000021002111100
4111220223103300000
5340034120120112
614401105214400
71451454261243
oct255053236000
965860232440
1023231020032
11994133a210
124604031400
132262bb77cc
1411a546725a
1590e7452dc
hex568ad3c00

23231020032 has 132 divisors (see below), whose sum is σ = 73177482456. Its totient is φ = 7039672320.

The previous prime is 23231020003. The next prime is 23231020063. The reversal of 23231020032 is 23002013232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (132).

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 = 23231019987 and 23231020014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13203 + ... + 215954.

Almost surely, 223231020032 is an apocalyptic number.

23231020032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23231020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36588741228).

23231020032 is an abundant number, since it is smaller than the sum of its proper divisors (49946462424).

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

23231020032 is a wasteful number, since it uses less digits than its factorization.

23231020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229194 (or 229173 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23231020032 its reverse (23002013232), we get a palindrome (46233033264).

The spelling of 23231020032 in words is "twenty-three billion, two hundred thirty-one million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2816 3072 3168 4224 4608 5632 6336 8448 9216 11264 12672 16896 25344 33792 50688 101376 229157 458314 687471 916628 1374942 1833256 2062413 2520727 2749884 3666512 4124826 5041454 5499768 7333024 7562181 8249652 10082908 10999536 14666048 15124362 16499304 20165816 21999072 22686543 29332096 30248724 32998608 40331632 43998144 45373086 58664192 60497448 65997216 80663264 87996288 90746172 117328384 120994896 131994432 161326528 175992576 181492344 234656768 241989792 263988864 322653056 351985152 362984688 483979584 527977728 645306112 703970304 725969376 967959168 1055955456 1290612224 1451938752 1935918336 2111910912 2581224448 2903877504 3871836672 5807755008 7743673344 11615510016 23231020032