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1003210000212 = 223754072208799
BaseRepresentation
bin11101001100100111111…
…10011100011101010100
310112220110102121022221210
432212103332130131110
5112414033230001322
62044511315541420
7132323323206150
oct16462376343524
93486412538853
101003210000212
11357505989632
12142518bba870
13737aa329054
14367ac8b6060
151b16848c70c
hexe993f9c754

1003210000212 has 48 divisors (see below), whose sum is σ = 2675722649600. Its totient is φ = 286578287712.

The previous prime is 1003210000189. The next prime is 1003210000217. The reversal of 1003210000212 is 2120000123001.

It is a super-2 number, since 2×10032100002122 (a number of 25 digits) contains 22 as substring.

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 (1003210000217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 650212 + ... + 1558587.

Almost surely, 21003210000212 is an apocalyptic number.

1003210000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003210000212 is an abundant number, since it is smaller than the sum of its proper divisors (1672512649388).

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

1003210000212 is a wasteful number, since it uses less digits than its factorization.

1003210000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214220 (or 2214218 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1003210000212 its reverse (2120000123001), we get a palindrome (3123210123213).

The spelling of 1003210000212 in words is "one trillion, three billion, two hundred ten million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 5407 10814 16221 21628 32442 37849 64884 75698 113547 151396 227094 454188 2208799 4417598 6626397 8835196 13252794 15461593 26505588 30923186 46384779 61846372 92769558 185539116 11942976193 23885952386 35828928579 47771904772 71657857158 83600833351 143315714316 167201666702 250802500053 334403333404 501605000106 1003210000212