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10032233213020 = 22523431912655449
BaseRepresentation
bin1001000111111100111110…
…1100100110110001011100
31022112001221120201010112211
42101333033230212301130
52303332003200304040
633200424434410204
72053543043212264
oct221771754466134
938461846633484
1010032233213020
113218712122047
121160392730964
1357a0600b0535
142697c3dbc7a4
15125e64b498ea
hex91fcfb26c5c

10032233213020 has 96 divisors (see below), whose sum is σ = 22612707532800. Its totient is φ = 3729523607040.

The previous prime is 10032233212849. The next prime is 10032233213083. The reversal of 10032233213020 is 2031233223001.

It is a junction number, because it is equal to n+sod(n) for n = 10032233212982 and 10032233213000.

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, 2450256 + ... + 5105704.

It is an arithmetic number, because the mean of its divisors is an integer number (235549036800).

Almost surely, 210032233213020 is an apocalyptic number.

10032233213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032233213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11306353766400).

10032233213020 is an abundant number, since it is smaller than the sum of its proper divisors (12580474319780).

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

10032233213020 is a wasteful number, since it uses less digits than its factorization.

10032233213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655715 (or 2655713 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10032233213020 its reverse (2031233223001), we get a palindrome (12063466436021).

The spelling of 10032233213020 in words is "ten trillion, thirty-two billion, two hundred thirty-three million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 23 43 46 86 92 115 172 191 215 230 382 430 460 764 860 955 989 1910 1978 3820 3956 4393 4945 8213 8786 9890 16426 17572 19780 21965 32852 41065 43930 82130 87860 164260 188899 377798 755596 944495 1888990 2655449 3777980 5310898 10621796 13277245 26554490 53108980 61075327 114184307 122150654 228368614 244301308 305376635 456737228 507190759 570921535 610753270 1014381518 1141843070 1221506540 2028763036 2283686140 2535953795 2626239061 5071907590 5252478122 10143815180 10504956244 11665387457 13131195305 21809202637 23330774914 26262390610 43618405274 46661549828 52524781220 58326937285 87236810548 109046013185 116653874570 218092026370 233307749140 436184052740 501611660651 1003223321302 2006446642604 2508058303255 5016116606510 10032233213020