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1140022334100 = 22352131717194907
BaseRepresentation
bin10000100101101110101…
…000000101001010010100
311000222121010010222212010
4100211232220011022110
5122134231204142400
62231415151024220
7145235546645226
oct20455650051224
94028533128763
101140022334100
113aa531983a71
12164b3b20b070
138367167a480
143d26aa0a416
151e9c43ea450
hex1096ea05294

1140022334100 has 144 divisors (see below), whose sum is σ = 3761145396288. Its totient is φ = 264113756160.

The previous prime is 1140022334081. The next prime is 1140022334131. The reversal of 1140022334100 is 14332200411.

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, 8531154 + ... + 8663753.

It is an arithmetic number, because the mean of its divisors is an integer number (26119065252).

Almost surely, 21140022334100 is an apocalyptic number.

1140022334100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140022334100 is an abundant number, since it is smaller than the sum of its proper divisors (2621123062188).

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

1140022334100 is a wasteful number, since it uses less digits than its factorization.

1140022334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17194954 (or 17194947 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1140022334100 its reverse (14332200411), we get a palindrome (1154354534511).

The spelling of 1140022334100 in words is "one trillion, one hundred forty billion, twenty-two million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 25 26 30 34 39 50 51 52 60 65 68 75 78 85 100 102 130 150 156 170 195 204 221 255 260 300 325 340 390 425 442 510 650 663 780 850 884 975 1020 1105 1275 1300 1326 1700 1950 2210 2550 2652 3315 3900 4420 5100 5525 6630 11050 13260 16575 22100 33150 66300 17194907 34389814 51584721 68779628 85974535 103169442 171949070 206338884 223533791 257923605 292313419 343898140 429872675 447067582 515847210 584626838 670601373 859745350 876940257 894135164 1031694420 1117668955 1169253676 1289618025 1341202746 1461567095 1719490700 1753880514 2235337910 2579236050 2682405492 2923134190 3353006865 3507761028 3800074447 4384701285 4470675820 5158472100 5588344775 5846268380 6706013730 7307835475 7600148894 8769402570 11176689550 11400223341 13412027460 14615670950 15200297788 16765034325 17538805140 19000372235 21923506425 22353379100 22800446682 29231341900 33530068650 38000744470 43847012850 45600893364 57001116705 67060137300 76001488940 87694025700 95001861175 114002233410 190003722350 228004466820 285005583525 380007444700 570011167050 1140022334100