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1000002100212 = 2232443599104681
BaseRepresentation
bin11101000110101001100…
…01010001101111110100
310112121011212101010102200
432203110301101233310
5112341001014201322
62043221123304500
7132150661414053
oct16432461215764
93477155333380
101000002100212
1135610a12a905
1214198281b130
13733b885277b
143658683239a
151b02ba2d8ac
hexe8d4c51bf4

1000002100212 has 72 divisors (see below), whose sum is σ = 2537742916800. Its totient is φ = 332023186560.

The previous prime is 1000002100183. The next prime is 1000002100243. The reversal of 1000002100212 is 2120012000001.

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 = 1000002100194 and 1000002100203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9500512 + ... + 9605192.

It is an arithmetic number, because the mean of its divisors is an integer number (35246429400).

Almost surely, 21000002100212 is an apocalyptic number.

1000002100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000002100212 is an abundant number, since it is smaller than the sum of its proper divisors (1537740816588).

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

1000002100212 is a wasteful number, since it uses less digits than its factorization.

1000002100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105733 (or 105728 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000002100212 its reverse (2120012000001), we get a palindrome (3120014100213).

The spelling of 1000002100212 in words is "one trillion, two million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 443 599 886 1198 1329 1772 1797 2396 2658 3594 3987 5316 5391 7188 7974 10782 15948 21564 104681 209362 265357 314043 418724 530714 628086 796071 942129 1061428 1256172 1592142 1884258 2388213 3184284 3768516 4776426 9552852 46373683 62703919 92747366 125407838 139121049 185494732 188111757 250815676 278242098 376223514 417363147 556484196 564335271 752447028 834726294 1128670542 1669452588 2257341084 27777836117 55555672234 83333508351 111111344468 166667016702 250000525053 333334033404 500001050106 1000002100212