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200201221000 = 23531127916521
BaseRepresentation
bin1011101001110011101…
…1000011001110001000
3201010202100220202211001
42322130323003032020
511240003003033000
6231545434544344
720315113205104
oct2723473031610
9633670822731
10200201221000
11779a5408550
1232972b980b4
1315b56c13161
149992b00904
15531ae7046a
hex2e9cec3388

200201221000 has 128 divisors (see below), whose sum is σ = 511320625920. Its totient is φ = 72763200000.

The previous prime is 200201220977. The next prime is 200201221001. The reversal of 200201221000 is 122102002.

200201221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (200201221001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 30697740 + ... + 30704260.

It is an arithmetic number, because the mean of its divisors is an integer number (3994692390).

Almost surely, 2200201221000 is an apocalyptic number.

200201221000 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 200201221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255660312960).

200201221000 is an abundant number, since it is smaller than the sum of its proper divisors (311119404920).

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

200201221000 is a wasteful number, since it uses less digits than its factorization.

200201221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344 (or 9330 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200201221000 its reverse (122102002), we get a palindrome (200323323002).

It can be divided in two parts, 200201 and 221000, that added together give a square (421201 = 6492).

The spelling of 200201221000 in words is "two hundred billion, two hundred one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 2791 5500 5582 6521 11000 11164 13042 13955 22328 26084 27910 30701 32605 52168 55820 61402 65210 69775 71731 111640 122804 130420 139550 143462 153505 163025 245608 260840 279100 286924 307010 326050 348875 358655 558200 573848 614020 652100 697750 717310 767525 815125 1228040 1304200 1395500 1434620 1535050 1630250 1793275 2791000 2869240 3070100 3260500 3586550 3837625 6140200 6521000 7173100 7675250 8966375 14346200 15350500 17932750 18200111 30701000 35865500 36400222 71731000 72800444 91000555 145600888 182001110 200201221 364002220 400402442 455002775 728004440 800804884 910005550 1001006105 1601609768 1820011100 2002012210 2275013875 3640022200 4004024420 4550027750 5005030525 8008048840 9100055500 10010061050 18200111000 20020122100 25025152625 40040244200 50050305250 100100610500 200201221000