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1002021001212 = 22372111710190227
BaseRepresentation
bin11101001010011010001…
…10110001011111111100
310112210101120021220221210
432211031012301133330
5112404114334014322
62044153323324420
7132252004656600
oct16451506613774
93483346256853
101002021001212
11356a55807030
12142246980710
137364abb6c4a
14366d8a0b500
151b0e8dc670c
hexe94d1b17fc

1002021001212 has 288 divisors, whose sum is σ = 3172693660416. Its totient is φ = 242527488000.

The previous prime is 1002021001199. The next prime is 1002021001213. The reversal of 1002021001212 is 2121001202001.

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 (1002021001213) 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 95 ways as a sum of consecutive naturals, for example, 11060443 + ... + 11150669.

It is an arithmetic number, because the mean of its divisors is an integer number (11016297432).

Almost surely, 21002021001212 is an apocalyptic number.

1002021001212 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 1002021001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586346830208).

1002021001212 is an abundant number, since it is smaller than the sum of its proper divisors (2170672659204).

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

1002021001212 is a wasteful number, since it uses less digits than its factorization.

1002021001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90377 (or 90368 counting only the distinct ones).

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

Adding to 1002021001212 its reverse (2121001202001), we get a palindrome (3123022203213).

The spelling of 1002021001212 in words is "one trillion, two billion, twenty-one million, one thousand, two hundred twelve".