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10032133232 = 2411237433257
BaseRepresentation
bin10010101011111011…
…00011010001110000
3221220011020011122002
421111331203101300
5131021211230412
64335251233132
7503414503562
oct112575432160
927804204562
1010032133232
114288972200
121b3b8a87a8
13c3b55b414
146b2529332
153dab08dc2
hex255f63470

10032133232 has 120 divisors (see below), whose sum is σ = 22459531248. Its totient is φ = 4332303360.

The previous prime is 10032133213. The next prime is 10032133253. The reversal of 10032133232 is 23233123001.

10032133232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3078548 + ... + 3081804.

Almost surely, 210032133232 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 10032133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11229765624).

10032133232 is an abundant number, since it is smaller than the sum of its proper divisors (12427398016).

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

10032133232 is a wasteful number, since it uses less digits than its factorization.

10032133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10032133232 its reverse (23233123001), we get a palindrome (33265256233).

The spelling of 10032133232 in words is "ten billion, thirty-two million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 37 43 44 74 86 88 121 148 172 176 242 296 344 407 473 484 592 688 814 946 968 1591 1628 1892 1936 3182 3256 3257 3784 4477 5203 6364 6512 6514 7568 8954 10406 12728 13028 17501 17908 20812 25456 26056 35002 35816 35827 41624 52112 70004 71632 71654 83248 120509 140008 140051 143308 192511 241018 280016 280102 286616 385022 394097 482036 560204 573232 770044 788194 964072 1120408 1325599 1540088 1540561 1576388 1928144 2240816 2651198 3080176 3081122 3152776 5181887 5302396 6162244 6305552 10363774 10604792 12324488 14581589 16946171 20727548 21209584 24648976 29163178 33892342 41455096 57000757 58326356 67784684 82910192 114001514 116652712 135569368 228003028 233305424 271138736 456006056 627008327 912012112 1254016654 2508033308 5016066616 10032133232