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1013233301100 = 223452125090531
BaseRepresentation
bin11101011111010010110…
…10010011011001101100
310120212022222012202220000
432233221122103121230
5113100100211113400
62053250054024300
7133126602645546
oct16575132233154
93525288182800
101013233301100
11360789868979
12144455948090
1374716ab4217
143707db82696
151b5533ee600
hexebe969366c

1013233301100 has 90 divisors (see below), whose sum is σ = 3284502098724. Its totient is φ = 270195544800.

The previous prime is 1013233301083. The next prime is 1013233301111. The reversal of 1013233301100 is 11033323101.

It is a happy number.

1013233301100 is a `hidden beast` number, since 1 + 0 + 1 + 323 + 330 + 1 + 10 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×10132333011002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 62537166 + ... + 62553365.

Almost surely, 21013233301100 is an apocalyptic number.

1013233301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013233301100 is an abundant number, since it is smaller than the sum of its proper divisors (2271268797624).

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

1013233301100 is a wasteful number, since it uses less digits than its factorization.

1013233301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125090557 (or 125090541 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1013233301100 its reverse (11033323101), we get a palindrome (1024266624201).

The spelling of 1013233301100 in words is "one trillion, thirteen billion, two hundred thirty-three million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 125090531 250181062 375271593 500362124 625452655 750543186 1125814779 1250905310 1501086372 1876357965 2251629558 2501810620 3127263275 3377444337 3752715930 4503259116 5629073895 6254526550 6754888674 7505431860 9381789825 10132333011 11258147790 12509053100 13509777348 16887221685 18763579650 20264666022 22516295580 28145369475 33774443370 37527159300 40529332044 50661665055 56290738950 67548886740 84436108425 101323330110 112581477900 168872216850 202646660220 253308325275 337744433700 506616650550 1013233301100