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10202121212220 = 22325729279204193
BaseRepresentation
bin1001010001110101110111…
…0011111001000100111100
31100010022110100221200110100
42110131131303321010330
52314122421012242340
633410442332041100
72102036034323430
oct224353563710474
940108410850410
1010202121212220
113283771501373
1211892a5903190
13590095a81652
14273adcc1c9c0
1512a5a971e830
hex9475dcf913c

10202121212220 has 144 divisors (see below), whose sum is σ = 36586917581760. Its totient is φ = 2251502604288.

The previous prime is 10202121212183. The next prime is 10202121212263. The reversal of 10202121212220 is 2221212120201.

It is a happy number.

10202121212220 is a `hidden beast` number, since 1 + 0 + 20 + 212 + 1 + 212 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10202121212193 and 10202121212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139565557 + ... + 139638636.

It is an arithmetic number, because the mean of its divisors is an integer number (254075816540).

Almost surely, 210202121212220 is an apocalyptic number.

10202121212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202121212220 is an abundant number, since it is smaller than the sum of its proper divisors (26384796369540).

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

10202121212220 is a wasteful number, since it uses less digits than its factorization.

10202121212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279204244 (or 279204239 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10202121212220 its reverse (2221212120201), we get a palindrome (12423333332421).

The spelling of 10202121212220 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 580 609 630 812 870 1015 1044 1218 1260 1305 1740 1827 2030 2436 2610 3045 3654 4060 5220 6090 7308 9135 12180 18270 36540 279204193 558408386 837612579 1116816772 1396020965 1675225158 1954429351 2512837737 2792041930 3350450316 3908858702 4188062895 5025675474 5584083860 5863288053 7817717404 8096921597 8376125790 9772146755 10051350948 11726576106 12564188685 16193843194 16752251580 17589864159 19544293510 23453152212 24290764791 25128377370 29316440265 32387686388 35179728318 39088587020 40484607985 48581529582 50256754740 56678451179 58632880530 70359456636 72872294373 80969215970 87949320795 97163059164 113356902358 117265761060 121453823955 145744588746 161938431940 170035353537 175898641590 226713804716 242907647910 283392255895 291489177492 340070707074 351797283180 364361471865 485815295820 510106060611 566784511790 680141414148 728722943730 850176767685 1020212121222 1133569023580 1457445887460 1700353535370 2040424242444 2550530303055 3400707070740 5101060606110 10202121212220