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10000220101212 = 22311196759512367
BaseRepresentation
bin1001000110000101101110…
…0100010001101001011100
31022102000022112101112221010
42101201123210101221130
52302320422321214322
633134012050335220
72051330530231635
oct221413344215134
938360275345833
1010000220101212
1132060845a6350
12115613958a510
1357702a930023
1426802846488c
151251de41d20c
hex9185b911a5c

10000220101212 has 96 divisors (see below), whose sum is σ = 27194771681280. Its totient is φ = 2828027632320.

The previous prime is 10000220101177. The next prime is 10000220101213. The reversal of 10000220101212 is 21210102200001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000220101213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29588148 + ... + 29924219.

It is an arithmetic number, because the mean of its divisors is an integer number (283278871680).

Almost surely, 210000220101212 is an apocalyptic number.

10000220101212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000220101212 is an abundant number, since it is smaller than the sum of its proper divisors (17194551580068).

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

10000220101212 is a wasteful number, since it uses less digits than its factorization.

10000220101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59512471 (or 59512469 counting only the distinct ones).

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

Adding to 10000220101212 its reverse (21210102200001), we get a palindrome (31210322301213).

The spelling of 10000220101212 in words is "ten trillion, two hundred twenty million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 67 76 114 132 134 201 209 228 268 402 418 627 737 804 836 1254 1273 1474 2211 2508 2546 2948 3819 4422 5092 7638 8844 14003 15276 28006 42009 56012 84018 168036 59512367 119024734 178537101 238049468 357074202 654636037 714148404 1130734973 1309272074 1963908111 2261469946 2618544148 3392204919 3927816222 3987328589 4522939892 6784409838 7855632444 7974657178 11961985767 12438084703 13568819676 15949314356 23923971534 24876169406 37314254109 43860614479 47847943068 49752338812 74628508218 75759243191 87721228958 131581843437 149257016436 151518486382 175442457916 227277729573 263163686874 303036972764 454555459146 526327373748 833351675101 909110918292 1666703350202 2500055025303 3333406700404 5000110050606 10000220101212