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22142141210000 = 24547316316303
BaseRepresentation
bin1010000100011010111100…
…11101100001110110010000
32220101202201220001222022002
411002031132131201312100
510400234101122210000
6115031543110333132
74443500620621010
oct502153635416620
986352656058262
1022142141210000
11706747a5177a9
12259736635a1a8
13c47cc1bc6456
14567984871c40
15285e7ba3c8d5
hex14235e761d90

22142141210000 has 100 divisors (see below), whose sum is σ = 61266672289152. Its totient is φ = 7591591248000.

The previous prime is 22142141209967. The next prime is 22142141210011. The reversal of 22142141210000 is 1214124122.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 158088152 + ... + 158228151.

Almost surely, 222142141210000 is an apocalyptic number.

22142141210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142141210000 is an abundant number, since it is smaller than the sum of its proper divisors (39124531079152).

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

22142141210000 is an equidigital number, since it uses as much as digits as its factorization.

22142141210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316316338 (or 316316317 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22142141210000 its reverse (1214124122), we get a palindrome (22143355334122).

The spelling of 22142141210000 in words is "twenty-two trillion, one hundred forty-two billion, one hundred forty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 316316303 632632606 1265265212 1581581515 2214214121 2530530424 3163163030 4428428242 5061060848 6326326060 7907907575 8856856484 11071070605 12652652120 15815815150 17713712968 22142141210 25305304240 31631630300 35427425936 39539537875 44284282420 55355353025 63263260600 79079075750 88568564840 110710706050 126526521200 158158151500 177137129680 197697689375 221421412100 276776765125 316316303000 395395378750 442842824200 553553530250 632632606000 790790757500 885685648400 1107107060500 1383883825625 1581581515000 2214214121000 2767767651250 3163163030000 4428428242000 5535535302500 11071070605000 22142141210000