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20133131232 = 2536716211931
BaseRepresentation
bin10010110000000001…
…110011001111100000
31220222010001000222010
4102300001303033200
5312213040144412
613125442512520
71311626535414
oct226001631740
956863030863
1020133131232
1185a169a535
123a9a665740
131b8b14b706
14d8dc5cd44
157cc7b733c
hex4b00733e0

20133131232 has 96 divisors (see below), whose sum is σ = 53699151744. Its totient is φ = 6603379200.

The previous prime is 20133131231. The next prime is 20133131237. The reversal of 20133131232 is 23213133102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20133131199 and 20133131208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20133131231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10425307 + ... + 10427237.

It is an arithmetic number, because the mean of its divisors is an integer number (559366164).

Almost surely, 220133131232 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 20133131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26849575872).

20133131232 is an abundant number, since it is smaller than the sum of its proper divisors (33566020512).

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

20133131232 is a wasteful number, since it uses less digits than its factorization.

20133131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 20133131232 its reverse (23213133102), we get a palindrome (43346264334).

The spelling of 20133131232 in words is "twenty billion, one hundred thirty-three million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 1621 1931 2144 3216 3242 3862 4863 5793 6432 6484 7724 9726 11586 12968 15448 19452 23172 25936 30896 38904 46344 51872 61792 77808 92688 108607 129377 155616 185376 217214 258754 325821 388131 434428 517508 651642 776262 868856 1035016 1303284 1552524 1737712 2070032 2606568 3105048 3130151 3475424 4140064 5213136 6210096 6260302 9390453 10426272 12420192 12520604 18780906 25041208 37561812 50082416 75123624 100164832 150247248 209720117 300494496 419440234 629160351 838880468 1258320702 1677760936 2516641404 3355521872 5033282808 6711043744 10066565616 20133131232