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10132211320 = 23571119173141
BaseRepresentation
bin10010110111110110…
…10100011001111000
3222011010112122221221
421123323110121320
5131222321230240
64353224241424
7506041242460
oct113373243170
928133478857
1010132211320
11432a407370
121b69310274
13c561cb61a
146c193aba0
153e47c6a4a
hex25bed4678

10132211320 has 128 divisors (see below), whose sum is σ = 29918937600. Its totient is φ = 2991859200.

The previous prime is 10132211311. The next prime is 10132211351. The reversal of 10132211320 is 2311223101.

It is a super-2 number, since 2×101322113202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10132211294 and 10132211303.

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, 28051 + ... + 145090.

It is an arithmetic number, because the mean of its divisors is an integer number (233741700).

Almost surely, 210132211320 is an apocalyptic number.

10132211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132211320 is an abundant number, since it is smaller than the sum of its proper divisors (19786726280).

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

10132211320 is a wasteful number, since it uses less digits than its factorization.

10132211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173189 (or 173185 counting only the distinct ones).

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

Adding to 10132211320 its reverse (2311223101), we get a palindrome (12443434421).

The spelling of 10132211320 in words is "ten billion, one hundred thirty-two million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 190 209 220 266 280 308 380 385 418 440 532 616 665 760 770 836 1045 1064 1330 1463 1540 1672 2090 2660 2926 3080 4180 5320 5852 7315 8360 11704 14630 29260 58520 173141 346282 692564 865705 1211987 1385128 1731410 1904551 2423974 3289679 3462820 3809102 4847948 6059935 6579358 6925640 7618204 9522755 9695896 12119870 13158716 13331857 15236408 16448395 19045510 23027753 24239740 26317432 26663714 32896790 36186469 38091020 46055506 48479480 53327428 65793580 66659285 72372938 76182040 92111012 106654856 115138765 131587160 133318570 144745876 180932345 184222024 230277530 253305283 266637140 289491752 361864690 460555060 506610566 533274280 723729380 921110120 1013221132 1266526415 1447458760 2026442264 2533052830 5066105660 10132211320