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10001212111020 = 22351350925190701
BaseRepresentation
bin1001000110001001011010…
…1100011111100010101100
31022102002212200000212120010
42101202112230133202230
52302324440300023040
633134254324453220
72051364234203544
oct221422654374254
938362780025503
1010001212111020
113206543561a69
12115637584a210
13577158300390
142680c00d2324
1512524b571e80
hex91896b1f8ac

10001212111020 has 96 divisors (see below), whose sum is σ = 30216750863040. Its totient is φ = 2457000115200.

The previous prime is 10001212111013. The next prime is 10001212111081. The reversal of 10001212111020 is 2011121210001.

It is a super-2 number, since 2×100012121110202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10001212110987 and 10001212111005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12198331 + ... + 12992370.

It is an arithmetic number, because the mean of its divisors is an integer number (314757821490).

Almost surely, 210001212111020 is an apocalyptic number.

10001212111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001212111020 is an abundant number, since it is smaller than the sum of its proper divisors (20215538752020).

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

10001212111020 is a wasteful number, since it uses less digits than its factorization.

10001212111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25191235 (or 25191233 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10001212111020 its reverse (2011121210001), we get a palindrome (12012333321021).

The spelling of 10001212111020 in words is "ten trillion, one billion, two hundred twelve million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 509 780 1018 1527 2036 2545 3054 5090 6108 6617 7635 10180 13234 15270 19851 26468 30540 33085 39702 66170 79404 99255 132340 198510 397020 25190701 50381402 75572103 100762804 125953505 151144206 251907010 302288412 327479113 377860515 503814020 654958226 755721030 982437339 1309916452 1511442060 1637395565 1964874678 3274791130 3929749356 4912186695 6549582260 9824373390 12822066809 19648746780 25644133618 38466200427 51288267236 64110334045 76932400854 128220668090 153864801708 166686868517 192331002135 256441336180 333373737034 384662004270 500060605551 666747474068 769324008540 833434342585 1000121211102 1666868685170 2000242422204 2500303027755 3333737370340 5000606055510 10001212111020