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20202122132300 = 22525931710801541
BaseRepresentation
bin1001001011111101011000…
…10100000011101101001100
32122112022012121220200101202
410211332230110003231030
510121442421231213200
6110544420552525032
74153361263552343
oct445765424035514
978468177820352
1020202122132300
116489743303689
1223233819b0778
13b3708a16c8a4
144dbb0610ab5a
152507847951d5
hex125fac503b4c

20202122132300 has 72 divisors (see below), whose sum is σ = 44722272435120. Its totient is φ = 7918825004800.

The previous prime is 20202122132261. The next prime is 20202122132303. The reversal of 20202122132300 is 323122120202.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20202122132303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3530471 + ... + 7271070.

It is an arithmetic number, because the mean of its divisors is an integer number (621142672710).

Almost surely, 220202122132300 is an apocalyptic number.

20202122132300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20202122132300 is an abundant number, since it is smaller than the sum of its proper divisors (24520150302820).

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

20202122132300 is a wasteful number, since it uses less digits than its factorization.

20202122132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10801931 (or 10801924 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20202122132300 its reverse (323122120202), we get a palindrome (20525244252502).

The spelling of 20202122132300 in words is "twenty trillion, two hundred two billion, one hundred twenty-two million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 317 590 634 1180 1268 1475 1585 2950 3170 5900 6340 7925 15850 18703 31700 37406 74812 93515 187030 374060 467575 935150 1870300 10801541 21603082 43206164 54007705 108015410 216030820 270038525 540077050 637290919 1080154100 1274581838 2549163676 3186454595 3424088497 6372909190 6848176994 12745818380 13696353988 15932272975 17120442485 31864545950 34240884970 63729091900 68481769940 85602212425 171204424850 202021221323 342408849700 404042442646 808084885292 1010106106615 2020212213230 4040424426460 5050530533075 10101061066150 20202122132300