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112053250100 = 225211413078093
BaseRepresentation
bin110100001011011100…
…1001110100000110100
3101201020011221220000002
41220112321032200310
53313441113000400
6123250534010432
711044532624231
oct1502671164064
9351204856002
10112053250100
1143581158320
12198724a6a18
13a7499c9aac
1455cdb80788
152dac4c7ed5
hex1a16e4e834

112053250100 has 144 divisors (see below), whose sum is σ = 272649174336. Its totient is φ = 39618432000.

The previous prime is 112053250093. The next prime is 112053250129. The reversal of 112053250100 is 1052350211.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13841654 + ... + 13849746.

It is an arithmetic number, because the mean of its divisors is an integer number (1893397044).

Almost surely, 2112053250100 is an apocalyptic number.

112053250100 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 112053250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136324587168).

112053250100 is an abundant number, since it is smaller than the sum of its proper divisors (160595924236).

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

112053250100 is a wasteful number, since it uses less digits than its factorization.

112053250100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8466 (or 8459 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 112053250100 in words is "one hundred twelve billion, fifty-three million, two hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 307 410 451 550 614 820 902 1025 1100 1228 1535 1804 2050 2255 3070 3377 4100 4510 6140 6754 7675 8093 9020 11275 12587 13508 15350 16186 16885 22550 25174 30700 32372 33770 40465 45100 50348 62935 67540 80930 84425 89023 125870 138457 161860 168850 178046 202325 251740 276914 314675 331813 337700 356092 404650 445115 553828 629350 663626 692285 809300 890230 1258700 1327252 1384570 1659065 1780460 2225575 2484551 2769140 3318130 3461425 3649943 4451150 4969102 6636260 6922850 7299886 8295325 8902300 9938204 12422755 13845700 14599772 16590650 18249715 24845510 27330061 33181300 36499430 49691020 54660122 62113775 72998860 91248575 101866591 109320244 124227550 136650305 182497150 203733182 248455100 273300610 364994300 407466364 509332955 546601220 683251525 1018665910 1120532501 1366503050 2037331820 2241065002 2546664775 2733006100 4482130004 5093329550 5602662505 10186659100 11205325010 22410650020 28013312525 56026625050 112053250100