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233103121132 = 227137199305363
BaseRepresentation
bin1101100100011000000…
…1110101101011101100
3211021200100122110210211
43121012001311223230
512304343344334012
6255030332512204
722561340560150
oct3310601655354
9737610573724
10233103121132
118a9496a9052
123921591b664
1318c9b562b0b
14b3d46d7060
1560e47116a7
hex3646075aec

233103121132 has 48 divisors (see below), whose sum is σ = 471970598400. Its totient is φ = 98673455232.

The previous prime is 233103121123. The next prime is 233103121157. The reversal of 233103121132 is 231121301332.

233103121132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2331031211322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610683 + ... + 916045.

It is an arithmetic number, because the mean of its divisors is an integer number (9832720800).

Almost surely, 2233103121132 is an apocalyptic number.

It is an amenable number.

233103121132 is an abundant number, since it is smaller than the sum of its proper divisors (238867477268).

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

233103121132 is a wasteful number, since it uses less digits than its factorization.

233103121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305710 (or 305708 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 233103121132 its reverse (231121301332), we get a palindrome (464224422464).

The spelling of 233103121132 in words is "two hundred thirty-three billion, one hundred three million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 137 199 274 398 548 796 959 1393 1918 2786 3836 5572 27263 54526 109052 190841 305363 381682 610726 763364 1221452 2137541 4275082 8550164 41834731 60767237 83669462 121534474 167338924 243068948 292843117 425370659 585686234 850741318 1171372468 1701482636 8325111469 16650222938 33300445876 58275780283 116551560566 233103121132