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1045050001100 = 2252771163129001
BaseRepresentation
bin11110011010100011101…
…01011000011011001100
310200220110022221121011022
433031101311120123030
5114110230300013400
62120031144213312
7135334212305060
oct17152165303314
93626408847138
101045050001100
11373226532566
1214a65516a238
1377717665721
143881b5adaa0
151c2b677eb85
hexf351d586cc

1045050001100 has 144 divisors (see below), whose sum is σ = 2644371749376. Its totient is φ = 351086400000.

The previous prime is 1045050001081. The next prime is 1045050001147. The reversal of 1045050001100 is 11000505401.

It is a super-2 number, since 2×10450500011002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8036600 + ... + 8165600.

It is an arithmetic number, because the mean of its divisors is an integer number (18363692704).

Almost surely, 21045050001100 is an apocalyptic number.

1045050001100 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 1045050001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322185874688).

1045050001100 is an abundant number, since it is smaller than the sum of its proper divisors (1599321748276).

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

1045050001100 is a wasteful number, since it uses less digits than its factorization.

1045050001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129256 (or 129249 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

Adding to 1045050001100 its reverse (11000505401), we get a palindrome (1056050506501).

The spelling of 1045050001100 in words is "one trillion, forty-five billion, fifty million, one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 140 142 163 175 284 326 350 355 497 652 700 710 815 994 1141 1420 1630 1775 1988 2282 2485 3260 3550 4075 4564 4970 5705 7100 8150 9940 11410 11573 12425 16300 22820 23146 24850 28525 46292 49700 57050 57865 81011 114100 115730 129001 162022 231460 258002 289325 324044 405055 516004 578650 645005 810110 903007 1157300 1290010 1620220 1806014 2025275 2580020 3225025 3612028 4050550 4515035 6450050 8101100 9030070 9159071 12900100 18060140 18318142 21027163 22575175 36636284 42054326 45150350 45795355 64113497 84108652 90300700 91590710 105135815 128226994 147190141 183181420 210271630 228976775 256453988 294380282 320567485 420543260 457953550 525679075 588760564 641134970 735950705 915907100 1051358150 1282269940 1471901410 1492928573 1602837425 2102716300 2943802820 2985857146 3205674850 3679753525 5971714292 6411349700 7359507050 7464642865 10450500011 14719014100 14929285730 20901000022 29858571460 37323214325 41802000044 52252500055 74646428650 104505000110 149292857300 209010000220 261262500275 522525000550 1045050001100