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1020021202200 = 233527111337197233
BaseRepresentation
bin11101101011111100000…
…00000101110100011000
310121111212000211212200110
432311332000011310120
5113203000411432300
62100331414204320
7133460035106640
oct16657600056430
93544760755613
101020021202200
113636524164a0
1214582b0536a0
1375259187b50
143752548b520
151b7ee2be550
hexed7e005d18

1020021202200 has 1536 divisors, whose sum is σ = 4401258301440. Its totient is φ = 188581478400.

The previous prime is 1020021202181. The next prime is 1020021202243. The reversal of 1020021202200 is 22021200201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4377773284 + ... + 4377773516.

It is an arithmetic number, because the mean of its divisors is an integer number (2865402540).

Almost surely, 21020021202200 is an apocalyptic number.

1020021202200 is a gapful number since it is divisible by the number (10) 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 1020021202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200629150720).

1020021202200 is an abundant number, since it is smaller than the sum of its proper divisors (3381237099240).

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

1020021202200 is a wasteful number, since it uses less digits than its factorization.

1020021202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020021202200 its reverse (22021200201), we get a palindrome (1042042402401).

It can be divided in two parts, 1020021 and 202200, that added together give a palindrome (1222221).

The spelling of 1020021202200 in words is "one trillion, twenty billion, twenty-one million, two hundred two thousand, two hundred".