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1041443002100 = 225243618274801
BaseRepresentation
bin11110010011110101101…
…01110001011011110100
310200120010221202001201202
433021322311301123310
5114030333402031400
62114233213512032
7135145633313024
oct17117265613364
93616127661652
101041443002100
11371745473856
12149a091a2618
13772912a49a7
143859851ba84
151c154c894d5
hexf27ad716f4

1041443002100 has 144 divisors (see below), whose sum is σ = 2353729726656. Its totient is φ = 399651840000.

The previous prime is 1041443002099. The next prime is 1041443002151. The reversal of 1041443002100 is 12003441401.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216919700 + ... + 216924500.

It is an arithmetic number, because the mean of its divisors is an integer number (16345345324).

Almost surely, 21041443002100 is an apocalyptic number.

1041443002100 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 1041443002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176864863328).

1041443002100 is an abundant number, since it is smaller than the sum of its proper divisors (1312286724556).

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

1041443002100 is a wasteful number, since it uses less digits than its factorization.

1041443002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1041443002100 its reverse (12003441401), we get a palindrome (1053446443501).

The spelling of 1041443002100 in words is "one trillion, forty-one billion, four hundred forty-three million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 61 86 100 122 172 215 244 305 430 610 827 860 1075 1220 1525 1654 2150 2623 3050 3308 4135 4300 4801 5246 6100 8270 9602 10492 13115 16540 19204 20675 24005 26230 35561 41350 48010 50447 52460 65575 71122 82700 96020 100894 120025 131150 142244 177805 201788 206443 240050 252235 262300 292861 355610 412886 480100 504470 585722 711220 825772 889025 1008940 1032215 1171444 1261175 1464305 1778050 2064430 2169221 2522350 2928610 3556100 3970427 4128860 4338442 5044700 5161075 5857220 7321525 7940854 8676884 10322150 10846105 12593023 14643050 15881708 19852135 20644300 21692210 25186046 29286100 39704270 43384420 50372092 54230525 62965115 79408540 99260675 108461050 125930230 170728361 198521350 216922100 242196047 251860460 314825575 341456722 397042700 484392094 629651150 682913444 853641805 968784188 1210980235 1259302300 1707283610 2421960470 3414567220 4268209025 4843920940 6054901175 8536418050 10414430021 12109802350 17072836100 20828860042 24219604700 41657720084 52072150105 104144300210 208288600420 260360750525 520721501050 1041443002100