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1010221010010 = 232583503268861
BaseRepresentation
bin11101011001101011101…
…11010100110001011010
310120120120001001112100100
432230311313110301122
5113022413034310020
62052031130120230
7132662134622022
oct16546567246132
93516501045310
101010221010010
1135a483473003
12143954b80076
13743569b8364
1436c75a9aa82
151b428c2da90
hexeb35dd4c5a

1010221010010 has 96 divisors (see below), whose sum is σ = 2663514741888. Its totient is φ = 265616472960.

The previous prime is 1010221010003. The next prime is 1010221010011. The reversal of 1010221010010 is 100101220101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010221009974 and 1010221010001.

It is not an unprimeable number, because it can be changed into a prime (1010221010011) 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 47 ways as a sum of consecutive naturals, for example, 3622980 + ... + 3891840.

It is an arithmetic number, because the mean of its divisors is an integer number (27744945228).

Almost surely, 21010221010010 is an apocalyptic number.

1010221010010 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 1010221010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331757370944).

1010221010010 is an abundant number, since it is smaller than the sum of its proper divisors (1653293731878).

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

1010221010010 is a wasteful number, since it uses less digits than its factorization.

1010221010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269460 (or 269457 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010221010010 its reverse (100101220101), we get a palindrome (1110322230111).

The spelling of 1010221010010 in words is "one trillion, ten billion, two hundred twenty-one million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 503 747 830 1006 1245 1494 1509 2490 2515 3018 3735 4527 5030 7470 7545 9054 15090 22635 41749 45270 83498 125247 208745 250494 268861 375741 417490 537722 626235 751482 806583 1252470 1344305 1613166 1878705 2419749 2688610 3757410 4032915 4839498 8065830 12098745 22315463 24197490 44630926 66946389 111577315 133892778 135237083 200839167 223154630 270474166 334731945 401678334 405711249 669463890 676185415 811422498 1004195835 1217133747 1352370830 2008391670 2028556245 2434267494 4057112490 6085668735 11224677889 12171337470 22449355778 33674033667 56123389445 67348067334 101022101001 112246778890 168370168335 202044202002 336740336670 505110505005 1010221010010