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1001021022210 = 23511327192507
BaseRepresentation
bin11101001000100011000…
…00001010000000000010
310112200210212122201122110
432210101200022000002
5112400042340202320
62043510202320150
7132215143204116
oct16442140120002
93480725581573
101001021022210
113565922a8000
12142007ab9056
137351b9864b1
1436641ca7746
151b08b1eb5e0
hexe91180a002

1001021022210 has 128 divisors (see below), whose sum is σ = 2652294647808. Its totient is φ = 241773681600.

The previous prime is 1001021022167. The next prime is 1001021022233. The reversal of 1001021022210 is 122201201001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10774777 + ... + 10867283.

It is an arithmetic number, because the mean of its divisors is an integer number (20721051936).

Almost surely, 21001021022210 is an apocalyptic number.

1001021022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001021022210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326147323904).

1001021022210 is an abundant number, since it is smaller than the sum of its proper divisors (1651273625598).

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

1001021022210 is a wasteful number, since it uses less digits than its factorization.

1001021022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92821 (or 92799 counting only the distinct ones).

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

Adding to 1001021022210 its reverse (122201201001), we get a palindrome (1123222223211).

The spelling of 1001021022210 in words is "one trillion, one billion, twenty-one million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 271 330 363 542 605 726 813 1210 1331 1355 1626 1815 2662 2710 2981 3630 3993 4065 5962 6655 7986 8130 8943 13310 14905 17886 19965 29810 32791 39930 44715 65582 89430 92507 98373 163955 185014 196746 277521 327910 360701 462535 491865 555042 721402 925070 983730 1017577 1082103 1387605 1803505 2035154 2164206 2775210 3052731 3607010 5087885 5410515 6105462 10175770 10821030 11193347 15263655 22386694 25069397 30527310 33580041 50138794 55966735 67160082 75208191 111933470 123126817 125346985 150416382 167900205 246253634 250693970 275763367 335800410 369380451 376040955 551526734 615634085 738760902 752081910 827290101 1231268170 1378816835 1654580202 1846902255 2757633670 3033397037 3693804510 4136450505 6066794074 8272901010 9100191111 15166985185 18200382222 30333970370 33367367407 45500955555 66734734814 91001911110 100102102221 166836837035 200204204442 333673674070 500510511105 1001021022210