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202212110000020 = 22519910958418831
BaseRepresentation
bin101101111110100100101100…
…111111000101111110010100
3222111222021210121212100001011
4231332210230333011332110
5203001020400130000040
61554022543315542004
760410225410135231
oct5576445477057624
9874867717770034
10202212110000020
115948174648860a
121a81a08a5ba904
1388aa69ba0c2b3
1437d1192a48788
15185a00373e3ea
hexb7e92cfc5f94

202212110000020 has 48 divisors (see below), whose sum is σ = 447044269996800. Its totient is φ = 76619333324160.

The previous prime is 202212109999997. The next prime is 202212110000053. The reversal of 202212110000020 is 20000011212202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25747996 + ... + 32670835.

It is an arithmetic number, because the mean of its divisors is an integer number (9313422291600).

Almost surely, 2202212110000020 is an apocalyptic number.

202212110000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202212110000020 is an abundant number, since it is smaller than the sum of its proper divisors (244832159996780).

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

202212110000020 is a wasteful number, since it uses less digits than its factorization.

202212110000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58427968 (or 58427966 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202212110000020 its reverse (20000011212202), we get a palindrome (222212121212222).

The spelling of 202212110000020 in words is "two hundred two trillion, two hundred twelve billion, one hundred ten million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 9109 18218 36436 45545 91090 173071 182180 346142 692284 865355 1730710 3461420 58418831 116837662 233675324 292094155 584188310 1109957789 1168376620 2219915578 4439831156 5549788945 11099577890 22199155780 532137131579 1064274263158 2128548526316 2660685657895 5321371315790 10110605500001 10642742631580 20221211000002 40442422000004 50553027500005 101106055000010 202212110000020