Search a number
-
+
1001010022200 = 233252895162129
BaseRepresentation
bin11101001000100001101…
…10001100011100111000
310112200210002221212110200
432210100312030130320
5112400032031202300
62043505130442200
7132214650541116
oct16442066143470
93480702855420
101001010022200
11356587074591
12142004293360
1373519604706
1436640642ab6
151b08a277200
hexe910d8c738

1001010022200 has 144 divisors (see below), whose sum is σ = 3362155009200. Its totient is φ = 266901888000.

The previous prime is 1001010022183. The next prime is 1001010022241. The reversal of 1001010022200 is 22200101001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16080736 + ... + 16142864.

It is an arithmetic number, because the mean of its divisors is an integer number (23348298675).

Almost surely, 21001010022200 is an apocalyptic number.

1001010022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001010022200 is an abundant number, since it is smaller than the sum of its proper divisors (2361144987000).

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

1001010022200 is a wasteful number, since it uses less digits than its factorization.

1001010022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71102 (or 71090 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001010022200 its reverse (22200101001), we get a palindrome (1023210123201).

The spelling of 1001010022200 in words is "one trillion, one billion, ten million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 8951 17902 26853 35804 44755 53706 62129 71608 80559 89510 107412 124258 134265 161118 179020 186387 214824 223775 248516 268530 310645 322236 358040 372774 402795 447550 497032 537060 559161 621290 644472 671325 745548 805590 895100 931935 1074120 1118322 1242580 1342650 1491096 1553225 1611180 1790200 1863870 2013975 2236644 2485160 2685300 2795805 3106450 3222360 3727740 4027950 4473288 4659675 5370600 5591610 6212900 7455480 8055900 9319350 11183220 12425800 13979025 16111800 18638700 22366440 27958050 37277400 55916100 111832200 556116679 1112233358 1668350037 2224466716 2780583395 3336700074 4448933432 5005050111 5561166790 6673400148 8341750185 10010100222 11122333580 13346800296 13902916975 16683500370 20020200444 22244667160 25025250555 27805833950 33367000740 40040400888 41708750925 50050501110 55611667900 66734001480 83417501850 100101002220 111223335800 125126252775 166835003700 200202004440 250252505550 333670007400 500505011100 1001010022200