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10220103040212 = 223213101307704287
BaseRepresentation
bin1001010010111000110110…
…0111000111110011010100
31100012000212112221012011200
42110232031213013303110
52314421232334241322
633423014525032500
72103243452332062
oct224561547076324
940160775835150
1010220103040212
11329035980193a
1211908839b5730
135919a02bb860
14274927079032
1512acad1d88ac
hex94b8d9c7cd4

10220103040212 has 144 divisors (see below), whose sum is σ = 28188411643392. Its totient is φ = 3103365830400.

The previous prime is 10220103040207. The next prime is 10220103040289. The reversal of 10220103040212 is 21204030102201.

It is a happy number.

10220103040212 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 0 + 30 + 402 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14159133 + ... + 14863419.

Almost surely, 210220103040212 is an apocalyptic number.

10220103040212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220103040212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094205821696).

10220103040212 is an abundant number, since it is smaller than the sum of its proper divisors (17968308603180).

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

10220103040212 is a wasteful number, since it uses less digits than its factorization.

10220103040212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704718 (or 704713 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10220103040212 its reverse (21204030102201), we get a palindrome (31424133142413).

The spelling of 10220103040212 in words is "ten trillion, two hundred twenty billion, one hundred three million, forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 101 117 156 202 234 303 307 404 468 606 614 909 921 1212 1228 1313 1818 1842 2626 2763 3636 3684 3939 3991 5252 5526 7878 7982 11052 11817 11973 15756 15964 23634 23946 31007 35919 47268 47892 62014 71838 93021 124028 143676 186042 279063 372084 403091 558126 704287 806182 1116252 1209273 1408574 1612364 2112861 2418546 2817148 3627819 4225722 4837092 6338583 7255638 8451444 9155731 12677166 14511276 18311462 25354332 27467193 36622924 54934386 71132987 82401579 109868772 142265974 164803158 213398961 216216109 284531948 329606316 426797922 432432218 640196883 648648327 853595844 864864436 924728831 1280393766 1297296654 1849457662 1945944981 2560787532 2594593308 2774186493 2810809417 3698915324 3891889962 5548372986 5621618834 7783779924 8322559479 8432428251 11096745972 11243237668 16645118958 16864856502 21837827009 25297284753 33290237916 33729713004 43675654018 50594569506 65513481027 87351308036 101189139012 131026962054 196540443081 262053924108 283891751117 393080886162 567783502234 786161772324 851675253351 1135567004468 1703350506702 2555025760053 3406701013404 5110051520106 10220103040212