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10200202220112 = 2431511669121019
BaseRepresentation
bin1001010001101110101101…
…1011100001001001010000
31100010010111122000210011120
42110123223123201021100
52314110003232020422
633405524101242240
72101640343213312
oct224335333411120
940103448023146
1010200202220112
113282977264183
121188a4b103380
1358cb4b32b368
1427399a00d7b2
1512a4e600e45c
hex946eb6e1250

10200202220112 has 80 divisors (see below), whose sum is σ = 26373157009920. Its totient is φ = 3397147747200.

The previous prime is 10200202220111. The next prime is 10200202220137. The reversal of 10200202220112 is 21102220200201.

It is a super-3 number, since 3×102002022201123 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10200202220091 and 10200202220100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200202220111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485274339 + ... + 485295357.

It is an arithmetic number, because the mean of its divisors is an integer number (329664462624).

Almost surely, 210200202220112 is an apocalyptic number.

10200202220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10200202220112 is an abundant number, since it is smaller than the sum of its proper divisors (16172954789808).

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

10200202220112 is a wasteful number, since it uses less digits than its factorization.

10200202220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29232 (or 29226 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10200202220112 its reverse (21102220200201), we get a palindrome (31302422420313).

The spelling of 10200202220112 in words is "ten trillion, two hundred billion, two hundred two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 1511 3022 4533 6044 6691 9066 12088 13382 18132 20073 21019 24176 26764 36264 40146 42038 53528 63057 72528 80292 84076 107056 126114 160584 168152 252228 321168 336304 504456 1008912 10110101 20220202 30330303 31759709 40440404 60660606 63519418 80880808 95279127 121321212 127038836 140638129 161761616 190558254 242642424 254077672 281276258 381116508 421914387 485284848 508155344 562552516 762233016 843828774 1125105032 1524466032 1687657548 2250210064 3375315096 6750630192 212504212919 425008425838 637512638757 850016851676 1275025277514 1700033703352 2550050555028 3400067406704 5100101110056 10200202220112