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20202142332120 = 23357231045659541
BaseRepresentation
bin1001001011111101011011…
…00001000111010011011000
32122112022021000220221100020
410211332231201013103120
510121442441414111440
6110544422553510440
74153361630343060
oct445765541072330
978468230827306
1020202142332120
116489753750051
122323388712420
13b370913c2c48
144dbb08a883a0
152507864353d0
hex125fad8474d8

20202142332120 has 128 divisors (see below), whose sum is σ = 72275987543040. Its totient is φ = 4416865896960.

The previous prime is 20202142332077. The next prime is 20202142332137. The reversal of 20202142332120 is 2123324120202.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 522810451 + ... + 522849090.

It is an arithmetic number, because the mean of its divisors is an integer number (564656152680).

Almost surely, 220202142332120 is an apocalyptic number.

20202142332120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20202142332120 is an abundant number, since it is smaller than the sum of its proper divisors (52073845210920).

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

20202142332120 is a wasteful number, since it uses less digits than its factorization.

20202142332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045659585 (or 1045659581 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20202142332120 its reverse (2123324120202), we get a palindrome (22325466452322).

The spelling of 20202142332120 in words is "twenty trillion, two hundred two billion, one hundred forty-two million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 9660 19320 1045659541 2091319082 3136978623 4182638164 5228297705 6273957246 7319616787 8365276328 10456595410 12547914492 14639233574 15684893115 20913190820 21958850361 24050169443 25095828984 29278467148 31369786230 36598083935 41826381640 43917700722 48100338886 58556934296 62739572460 72150508329 73196167870 87835401444 96200677772 109794251805 120250847215 125479144920 144301016658 146392335740 168351186101 175670802888 192401355544 219588503610 240501694430 288602033316 292784671480 336702372202 360752541645 439177007220 481003388860 505053558303 577204066632 673404744404 721505083290 841755930505 878354014440 962006777720 1010107116606 1346809488808 1443010166580 1683511861010 2020214233212 2525267791515 2886020333160 3367023722020 4040428466424 5050535583030 6734047444040 10101071166060 20202142332120