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10233311003132 = 22711316724237993
BaseRepresentation
bin1001010011101010000011…
…0111100000000111111100
31100020021222001001020010112
42110322200313200013330
52320130310104100012
633433041305325152
72104221662220440
oct224724067400774
940207861036115
1010233311003132
113295a17308978
12119334b1967b8
13592cc67a5129
1427541b29a820
1512b2d2a19122
hex94ea0de01fc

10233311003132 has 96 divisors (see below), whose sum is σ = 20782554089472. Its totient is φ = 4318540240896.

The previous prime is 10233311003101. The next prime is 10233311003171. The reversal of 10233311003132 is 23130011333201.

It is a super-2 number, since 2×102333110031322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10233311003098 and 10233311003107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1280280128 + ... + 1280288120.

It is an arithmetic number, because the mean of its divisors is an integer number (216484938432).

Almost surely, 210233311003132 is an apocalyptic number.

It is an amenable number.

10233311003132 is an abundant number, since it is smaller than the sum of its proper divisors (10549243086340).

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

10233311003132 is a wasteful number, since it uses less digits than its factorization.

10233311003132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10707 (or 10705 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10233311003132 its reverse (23130011333201), we get a palindrome (33363322336333).

The spelling of 10233311003132 in words is "ten trillion, two hundred thirty-three billion, three hundred eleven million, three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 113 167 226 334 452 668 791 1169 1582 2338 2423 3164 4676 4846 7993 9692 15986 16961 18871 31972 33922 37742 55951 67844 75484 111902 132097 223804 264194 273799 404641 528388 547598 809282 903209 1095196 1334831 1618564 1806418 1916593 2669662 2832487 3612836 3833186 5339324 5664974 6322463 7666372 9343817 11329948 12644926 18687634 19367039 25289852 37375268 38734078 45724433 77468156 91448866 135569273 150835903 182897732 271138546 301671806 320071031 542277092 603343612 640142062 1055851321 1280284124 2111702642 2188475407 3234295513 4223405284 4376950814 6468591026 8753901628 12937182052 15319327849 22640068591 30638655698 45280137182 61277311396 90560274364 365475392969 730950785938 1461901571876 2558327750783 5116655501566 10233311003132