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230211001020 = 22357111329132173
BaseRepresentation
bin1101011001100110100…
…1010001101010111100
3211000012210121112212010
43112121221101222330
512232433004013040
6253431340411220
722426562136120
oct3263151215274
9730183545763
10230211001020
11896a5121440
1238749246b10
131892a320940
14b1dc573580
155ec587be80
hex3599a51abc

230211001020 has 384 divisors, whose sum is σ = 895314954240. Its totient is φ = 42633400320.

The previous prime is 230211001003. The next prime is 230211001051. The reversal of 230211001020 is 20100112032.

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

It is a junction number, because it is equal to n+sod(n) for n = 230211000987 and 230211001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1675654 + ... + 1807826.

It is an arithmetic number, because the mean of its divisors is an integer number (2331549360).

Almost surely, 2230211001020 is an apocalyptic number.

230211001020 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 230211001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447657477120).

230211001020 is an abundant number, since it is smaller than the sum of its proper divisors (665103953220).

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

230211001020 is a wasteful number, since it uses less digits than its factorization.

230211001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132245 (or 132243 counting only the distinct ones).

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

Adding to 230211001020 its reverse (20100112032), we get a palindrome (250311113052).

The spelling of 230211001020 in words is "two hundred thirty billion, two hundred eleven million, one thousand, twenty".