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1000010000100 = 2235231372906161
BaseRepresentation
bin11101000110101010011…
…11011010011011100100
310112121012102020111001010
432203111033122123210
5112341010030000400
62043222004502220
7132151115515566
oct16432517323344
93477172214033
101000010000100
11356113636141
121419853aa970
13733ba38a467
14365878cb336
151b02c58e450
hexe8d53da6e4

1000010000100 has 144 divisors (see below), whose sum is σ = 3067419117056. Its totient is φ = 251092224000.

The previous prime is 1000010000083. The next prime is 1000010000123. The reversal of 1000010000100 is 10000100001.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

1000010000100 is a modest number, since divided by 10000100 gives 100 as remainder.

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, 1108981 + ... + 1797180.

Almost surely, 21000010000100 is an apocalyptic number.

1000010000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000010000100 is an abundant number, since it is smaller than the sum of its proper divisors (2067409116956).

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

1000010000100 is a wasteful number, since it uses less digits than its factorization.

1000010000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906246 (or 2906239 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 1000010000100 its reverse (10000100001), we get a palindrome (1010010100101).

Subtracting from 1000010000100 its reverse (10000100001), we obtain a palindrome (990009900099).

1000010000100 divided by its reverse (10000100001) gives a square (100 = 102).

The spelling of 1000010000100 in words is "one trillion, ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 37 50 60 62 74 75 93 100 111 124 148 150 155 185 186 222 300 310 370 372 444 465 555 620 740 775 925 930 1110 1147 1550 1850 1860 2220 2294 2325 2775 3100 3441 3700 4588 4650 5550 5735 6882 9300 11100 11470 13764 17205 22940 28675 34410 57350 68820 86025 114700 172050 344100 2906161 5812322 8718483 11624644 14530805 17436966 29061610 34873932 43592415 58123220 72654025 87184830 90090991 107527957 145308050 174369660 180181982 215055914 217962075 270272973 290616100 322583871 360363964 430111828 435924150 450454955 537639785 540545946 645167742 871848300 900909910 1075279570 1081091892 1290335484 1351364865 1612919355 1801819820 2150559140 2252274775 2688198925 2702729730 3225838710 3333366667 4504549550 5376397850 5405459460 6451677420 6666733334 6756824325 8064596775 9009099100 10000100001 10752795700 13333466668 13513648650 16129193550 16666833335 20000200002 27027297300 32258387100 33333666670 40000400004 50000500005 66667333340 83334166675 100001000010 166668333350 200002000020 250002500025 333336666700 500005000050 1000010000100