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1002442014200 = 2352112319811107
BaseRepresentation
bin11101001011001100011…
…00110011110111111000
310112211110220111121012102
432211212030303313320
5112411000123423300
62044303203202532
7132265306346654
oct16454614636770
93484426447172
101002442014200
11357151424350
12142343976448
13736b71a4a63
14367388c1a64
151b120d3b0d5
hexe966333df8

1002442014200 has 96 divisors (see below), whose sum is σ = 2653103583360. Its totient is φ = 348675465600.

The previous prime is 1002442014193. The next prime is 1002442014283. The reversal of 1002442014200 is 24102442001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9854954 + ... + 9956153.

It is an arithmetic number, because the mean of its divisors is an integer number (27636495660).

Almost surely, 21002442014200 is an apocalyptic number.

1002442014200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002442014200 is an abundant number, since it is smaller than the sum of its proper divisors (1650661569160).

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

1002442014200 is a wasteful number, since it uses less digits than its factorization.

1002442014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19811157 (or 19811148 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1002442014200 its reverse (24102442001), we get a palindrome (1026544456201).

The spelling of 1002442014200 in words is "one trillion, two billion, four hundred forty-two million, fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1100 1150 1265 2024 2200 2300 2530 4600 5060 6325 10120 12650 25300 50600 19811107 39622214 79244428 99055535 158488856 198111070 217922177 396222140 435844354 455655461 495277675 792444280 871688708 911310922 990555350 1089610885 1743377416 1822621844 1981110700 2179221770 2278277305 3645243688 3962221400 4358443540 4556554610 5012210071 5448054425 8716887080 9113109220 10024420142 10896108850 11391386525 18226218440 20048840284 21792217700 22782773050 25061050355 40097680568 43584435400 45565546100 50122100710 91131092200 100244201420 125305251775 200488402840 250610503550 501221007100 1002442014200