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1102023102300 = 2235219740514603
BaseRepresentation
bin10000000010010101101…
…100100000111101011100
310220100111212220000100120
4100002111230200331130
5121023420403233200
62202132403354540
7142422105545661
oct20022554407534
93810455800316
101102023102300
1139540234776a
121596b5382a50
137cbc6c80b23
143b4a4057a68
151d9ed3c89a0
hex10095b20f5c

1102023102300 has 144 divisors (see below), whose sum is σ = 3206193040512. Its totient is φ = 292245408000.

The previous prime is 1102023102263. The next prime is 1102023102311. The reversal of 1102023102300 is 32013202011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1102023102300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239411799 + ... + 239416401.

It is an arithmetic number, because the mean of its divisors is an integer number (22265229448).

Almost surely, 21102023102300 is an apocalyptic number.

1102023102300 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 1102023102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603096520256).

1102023102300 is an abundant number, since it is smaller than the sum of its proper divisors (2104169938212).

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

1102023102300 is a wasteful number, since it uses less digits than its factorization.

1102023102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1102023102300 its reverse (32013202011), we get a palindrome (1134036304311).

The spelling of 1102023102300 in words is "one trillion, one hundred two billion, twenty-three million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1182 1970 2364 2955 3940 4051 4603 4925 5910 8102 9206 9850 11820 12153 13809 14775 16204 18412 19700 20255 23015 24306 27618 29550 40510 46030 48612 55236 59100 60765 69045 81020 92060 101275 115075 121530 138090 202550 230150 243060 276180 303825 345225 405100 460300 607650 690450 798047 906791 1215300 1380900 1596094 1813582 2394141 2720373 3192188 3627164 3990235 4533955 4788282 5440746 7980470 9067910 9576564 10881492 11970705 13601865 15960940 18135820 18646753 19951175 22669775 23941410 27203730 37293506 39902350 45339550 47882820 54407460 55940259 59853525 68009325 74587012 79804700 90679100 93233765 111880518 119707050 136018650 186467530 223761036 239414100 272037300 279701295 372935060 466168825 559402590 932337650 1118805180 1398506475 1864675300 2797012950 3673410341 5594025900 7346820682 11020231023 14693641364 18367051705 22040462046 36734103410 44080924092 55101155115 73468206820 91835258525 110202310230 183670517050 220404620460 275505775575 367341034100 551011551150 1102023102300