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1001210100012 = 223353866920177
BaseRepresentation
bin11101001000111001100…
…01011011100100101100
310112201022001102212122000
432210130301123210230
5112400434241200022
62043541035052300
7132222630301263
oct16443461334454
93481261385560
101001210100012
11356679aaaa51
1214205b2a1090
137354bbb8255
143665d0455da
151b09cae96ac
hexe91cc5b92c

1001210100012 has 96 divisors (see below), whose sum is σ = 2645142091200. Its totient is φ = 327385783296.

The previous prime is 1001210099993. The next prime is 1001210100029. The reversal of 1001210100012 is 2100010121001.

It is a happy number.

1001210100012 is digitally balanced in base 2 and base 4, because in such bases 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001210099967 and 1001210100003.

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, 49611268 + ... + 49631444.

It is an arithmetic number, because the mean of its divisors is an integer number (27553563450).

Almost surely, 21001210100012 is an apocalyptic number.

1001210100012 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 1001210100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322571045600).

1001210100012 is an abundant number, since it is smaller than the sum of its proper divisors (1643931991188).

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

1001210100012 is a wasteful number, since it uses less digits than its factorization.

1001210100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28912 (or 28904 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001210100012 its reverse (2100010121001), we get a palindrome (3101220221013).

The spelling of 1001210100012 in words is "one trillion, one billion, two hundred ten million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5724 8669 17338 20177 26007 34676 40354 52014 60531 78021 80708 104028 121062 156042 181593 234063 242124 312084 363186 459457 468126 544779 726372 918914 936252 1069381 1089558 1378371 1837828 2138762 2179116 2756742 3208143 4135113 4277524 5513484 6416286 8270226 9624429 12405339 12832572 16540452 19248858 24810678 28873287 38497716 49621356 57746574 115493148 174914413 349828826 524743239 699657652 1049486478 1574229717 2098972956 3148459434 4722689151 6296918868 9270463889 9445378302 18540927778 18890756604 27811391667 37081855556 55622783334 83434175001 111245566668 166868350002 250302525003 333736700004 500605050006 1001210100012