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10011001000100 = 2252412719009991
BaseRepresentation
bin1001000110101101111000…
…1010001001000010100100
31022110001010212112221221112
42101223132022021002210
52303010012224000400
633142553530404152
72052161636324012
oct221533612110244
938401125487845
1010011001000100
11320a707095241
121158247b90658
13578058343139
1426876c1bd8b2
15125620b2d835
hex91ade2890a4

10011001000100 has 72 divisors (see below), whose sum is σ = 22335842247936. Its totient is φ = 3892315680000.

The previous prime is 10011001000087. The next prime is 10011001000103. The reversal of 10011001000100 is 100010011001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (10011001000103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3393896 + ... + 5616095.

Almost surely, 210011001000100 is an apocalyptic number.

10011001000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011001000100 is an abundant number, since it is smaller than the sum of its proper divisors (12324841247836).

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

10011001000100 is a wasteful number, since it uses less digits than its factorization.

10011001000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9010317 (or 9010310 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10011001000100 its reverse (100010011001), we get a palindrome (10111011011101).

The spelling of 10011001000100 in words is "ten trillion, eleven billion, one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 271 410 542 820 1025 1084 1355 2050 2710 4100 5420 6775 11111 13550 22222 27100 44444 55555 111110 222220 277775 555550 1111100 9009991 18019982 36039964 45049955 90099910 180199820 225249775 369409631 450499550 738819262 900999100 1477638524 1847048155 2441707561 3694096310 4883415122 7388192620 9235240775 9766830244 12208537805 18470481550 24417075610 36940963100 48834151220 61042689025 100110010001 122085378050 200220020002 244170756100 400440040004 500550050005 1001100100010 2002200200020 2502750250025 5005500500050 10011001000100