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10001212100220 = 22351133294551923
BaseRepresentation
bin1001000110001001011010…
…1100011100111001111100
31022102002212200000022202010
42101202112230130321330
52302324440244201340
633134254324331220
72051364234130215
oct221422654347174
938362780008663
1010001212100220
113206543554940
121156375843b10
135771582c84a3
142680c00cc40c
1512524b56db80
hex91896b1ce7c

10001212100220 has 96 divisors (see below), whose sum is σ = 30558340350720. Its totient is φ = 2423807426560.

The previous prime is 10001212100213. The next prime is 10001212100221. The reversal of 10001212100220 is 2200121210001.

10001212100220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10001212100196 and 10001212100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001212100221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78822 + ... + 4473101.

It is an arithmetic number, because the mean of its divisors is an integer number (318316045320).

Almost surely, 210001212100220 is an apocalyptic number.

10001212100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001212100220 is an abundant number, since it is smaller than the sum of its proper divisors (20557128250500).

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

10001212100220 is a wasteful number, since it uses less digits than its factorization.

10001212100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555275 (or 4555273 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001212100220 its reverse (2200121210001), we get a palindrome (12201333310221).

The spelling of 10001212100220 in words is "ten trillion, one billion, two hundred twelve million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3329 6658 9987 13316 16645 19974 33290 36619 39948 49935 66580 73238 99870 109857 146476 183095 199740 219714 366190 439428 549285 732380 1098570 2197140 4551923 9103846 13655769 18207692 22759615 27311538 45519230 50071153 54623076 68278845 91038460 100142306 136557690 150213459 200284612 250355765 273115380 300426918 500711530 600853836 751067295 1001423060 1502134590 3004269180 15153351667 30306703334 45460055001 60613406668 75766758335 90920110002 151533516670 166686868337 181840220004 227300275005 303067033340 333373736674 454600550010 500060605011 666747473348 833434341685 909201100020 1000121210022 1666868683370 2000242420044 2500303025055 3333737366740 5000606050110 10001212100220