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10123203112220 = 22511471307749069
BaseRepresentation
bin1001001101001111110111…
…1011001110110100011100
31022211202202102121211020202
42103103331323032310130
52311324304444042340
633310311343203032
72063243260461302
oct223237573166434
938752672554222
1010123203112220
113253254277820
121175b402a6478
135857c9b30b63
1426dd73a30272
151284db20dc15
hex934fdeced1c

10123203112220 has 96 divisors (see below), whose sum is σ = 23702923883520. Its totient is φ = 3600080733440.

The previous prime is 10123203112207. The next prime is 10123203112237. The reversal of 10123203112220 is 2221130232101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10123203112192 and 10123203112201.

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, 13139846 + ... + 13888914.

It is an arithmetic number, because the mean of its divisors is an integer number (246905457120).

Almost surely, 210123203112220 is an apocalyptic number.

10123203112220 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 10123203112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11851461941760).

10123203112220 is an abundant number, since it is smaller than the sum of its proper divisors (13579720771300).

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

10123203112220 is a wasteful number, since it uses less digits than its factorization.

10123203112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750443 (or 750441 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10123203112220 its reverse (2221130232101), we get a palindrome (12344333344321).

The spelling of 10123203112220 in words is "ten trillion, one hundred twenty-three billion, two hundred three million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 1307 2068 2585 2614 5170 5228 6535 10340 13070 14377 26140 28754 57508 61429 71885 122858 143770 245716 287540 307145 614290 675719 749069 1228580 1351438 1498138 2702876 2996276 3378595 3745345 6757190 7490690 8239759 13514380 14981380 16479518 32959036 35206243 41198795 70412486 82397590 140824972 164795180 176031215 352062430 387268673 704124860 774537346 979033183 1549074692 1936343365 1958066366 3872686730 3916132732 4895165915 7745373460 9790331830 10769365013 19580663660 21538730026 43077460052 46014559601 53846825065 92029119202 107693650130 184058238404 215387300260 230072798005 460145596010 506160155611 920291192020 1012320311222 2024640622444 2530800778055 5061601556110 10123203112220