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10132231120 = 24511291013931
BaseRepresentation
bin10010110111110110…
…11001001111010000
3222011010120200010021
421123323121033100
5131222322343440
64353224513224
7506041354264
oct113373311720
928133520107
1010132231120
11432a420230
121b6931b814
13c5620763b
146c19440a4
153e47cc84a
hex25bed93d0

10132231120 has 160 divisors (see below), whose sum is σ = 26855245440. Its totient is φ = 3521280000.

The previous prime is 10132231093. The next prime is 10132231133. The reversal of 10132231120 is 2113223101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10132231094 and 10132231103.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2575555 + ... + 2579485.

It is an arithmetic number, because the mean of its divisors is an integer number (167845284).

Almost surely, 210132231120 is an apocalyptic number.

10132231120 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 10132231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13427622720).

10132231120 is an abundant number, since it is smaller than the sum of its proper divisors (16723014320).

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

10132231120 is a wasteful number, since it uses less digits than its factorization.

10132231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10132231120 its reverse (2113223101), we get a palindrome (12245454221).

The spelling of 10132231120 in words is "ten billion, one hundred thirty-two million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 101 110 116 145 176 202 220 232 290 319 404 440 464 505 580 638 808 880 1010 1111 1160 1276 1595 1616 2020 2222 2320 2552 2929 3190 3931 4040 4444 5104 5555 5858 6380 7862 8080 8888 11110 11716 12760 14645 15724 17776 19655 22220 23432 25520 29290 31448 32219 39310 43241 44440 46864 58580 62896 64438 78620 86482 88880 113999 117160 128876 157240 161095 172964 216205 227998 234320 257752 314480 322190 345928 397031 432410 455996 515504 569995 644380 691856 794062 864820 911992 1139990 1253989 1288760 1588124 1729640 1823984 1985155 2279980 2507978 2577520 3176248 3459280 3970310 4367341 4559960 5015956 6269945 6352496 7940620 8734682 9119920 10031912 11513899 12539890 15881240 17469364 20063824 21836705 23027798 25079780 31762480 34938728 43673410 46055596 50159560 57569495 69877456 87346820 92111192 100319120 115138990 126652889 174693640 184222384 230277980 253305778 349387280 460555960 506611556 633264445 921111920 1013223112 1266528890 2026446224 2533057780 5066115560 10132231120