Search a number
-
+
1000321223100 = 223524917578971
BaseRepresentation
bin11101000111001111100…
…10101000100110111100
310112122000002212020201220
432203213302220212330
5112342124213114400
62043312523233340
7132161615050353
oct16434762504674
93478002766656
101000321223100
11356263285631
12141a51678850
13734399b7694
14365b6d8299a
151b049a687a0
hexe8e7ca89bc

1000321223100 has 144 divisors (see below), whose sum is σ = 2904312195456. Its totient is φ = 265827744000.

The previous prime is 1000321223087. The next prime is 1000321223117. The reversal of 1000321223100 is 13221230001.

It is a super-2 number, since 2×10003212231002 (a number of 25 digits) contains 22 as substring.

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 1000321223100.

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, 111501615 + ... + 111510585.

Almost surely, 21000321223100 is an apocalyptic number.

1000321223100 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 1000321223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452156097728).

1000321223100 is an abundant number, since it is smaller than the sum of its proper divisors (1903990972356).

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

1000321223100 is a wasteful number, since it uses less digits than its factorization.

1000321223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10236 (or 10229 counting only the distinct ones).

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

Adding to 1000321223100 its reverse (13221230001), we get a palindrome (1013542453101).

The spelling of 1000321223100 in words is "one trillion, three hundred twenty-one million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 491 757 982 1473 1514 1964 2271 2455 2946 3028 3785 4542 4910 5892 7365 7570 8971 9084 9820 11355 12275 14730 15140 17942 18925 22710 24550 26913 29460 35884 36825 37850 44855 45420 49100 53826 56775 73650 75700 89710 107652 113550 134565 147300 179420 224275 227100 269130 371687 448550 538260 672825 743374 897100 1115061 1345650 1486748 1858435 2230122 2691300 3716870 4404761 4460244 5575305 6791047 7433740 8809522 9292175 11150610 13214283 13582094 17619044 18584350 20373141 22023805 22301220 26428566 27164188 27876525 33955235 37168700 40746282 44047610 52857132 55753050 66071415 67910470 81492564 88095220 101865705 110119025 111506100 132142830 135820940 169776175 203731410 220238050 264285660 330357075 339552350 407462820 440476100 509328525 660714150 679104700 1018657050 1321428300 2037314100 3334404077 6668808154 10003212231 13337616308 16672020385 20006424462 33344040770 40012848924 50016061155 66688081540 83360101925 100032122310 166720203850 200064244620 250080305775 333440407700 500160611550 1000321223100