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213000021201000 = 2335311231012778539
BaseRepresentation
bin110000011011100011101110…
…100110011101000001101000
31000221011121021201000201011010
4300123203232212131001220
5210404243020411413000
62033002505304303520
762602513042306545
oct6033435646350150
91027147251021133
10213000021201000
1161960890083730
121ba809b8171ba0
1391b0a7b45b267
143a853827a7bcc
151995945512d50
hexc1b8ee99d068

213000021201000 has 512 divisors, whose sum is σ = 763985580134400. Its totient is φ = 48902268800000.

The previous prime is 213000021200999. The next prime is 213000021201001. The reversal of 213000021201000 is 102120000312.

It is an interprime number because it is at equal distance from previous prime (213000021200999) and next prime (213000021201001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (213000021201001) 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 127 ways as a sum of consecutive naturals, for example, 75269731 + ... + 78048269.

It is an arithmetic number, because the mean of its divisors is an integer number (1492159336200).

Almost surely, 2213000021201000 is an apocalyptic number.

213000021201000 is a gapful number since it is divisible by the number (20) 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 213000021201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381992790067200).

213000021201000 is an abundant number, since it is smaller than the sum of its proper divisors (550985558933400).

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

213000021201000 is a wasteful number, since it uses less digits than its factorization.

213000021201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778698 (or 2778684 counting only the distinct ones).

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

Adding to 213000021201000 its reverse (102120000312), we get a palindrome (213102141201312).

The spelling of 213000021201000 in words is "two hundred thirteen trillion, twenty-one million, two hundred one thousand".