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10032131228 = 227319737117
BaseRepresentation
bin10010101011111011…
…00010110010011100
3221220011020001212212
421111331202302130
5131021211144403
64335251215552
7503414465000
oct112575426234
927804201785
1010032131228
114288970749
121b3b8a75b8
13c3b55a532
146b2528700
153dab084d8
hex255f62c9c

10032131228 has 48 divisors (see below), whose sum is σ = 20578219200. Its totient is φ = 4277544768.

The previous prime is 10032131203. The next prime is 10032131231. The reversal of 10032131228 is 82213123001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251726 + ... + 288842.

It is an arithmetic number, because the mean of its divisors is an integer number (428712900).

Almost surely, 210032131228 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 10032131228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10289109600).

10032131228 is an abundant number, since it is smaller than the sum of its proper divisors (10546087972).

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

10032131228 is a wasteful number, since it uses less digits than its factorization.

10032131228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37339 (or 37323 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10032131228 its reverse (82213123001), we get a palindrome (92245254229).

The spelling of 10032131228 in words is "ten billion, thirty-two million, one hundred thirty-one thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 197 343 394 686 788 1372 1379 2758 5516 9653 19306 37117 38612 67571 74234 135142 148468 259819 270284 519638 1039276 1818733 3637466 7274932 7312049 12731131 14624098 25462262 29248196 50924524 51184343 102368686 204737372 358290401 716580802 1433161604 2508032807 5016065614 10032131228