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1010211101010 = 2325371429212293
BaseRepresentation
bin11101011001101010100…
…01100001100101010010
310120120112100102002202100
432230311101201211102
5113022403020213020
62052030133501230
7132661654451556
oct16546521414522
93516470362670
101010211101010
1135a478915251
121439517a1816
1374354929047
1436c7463b866
151b427e22a90
hexeb35461952

1010211101010 has 96 divisors (see below), whose sum is σ = 2699437094640. Its totient is φ = 261924171264.

The previous prime is 1010211100999. The next prime is 1010211101033. The reversal of 1010211101010 is 101011120101.

It can be written as a sum of positive squares in 8 ways, for example, as 477181153089 + 533029947921 = 690783^2 + 730089^2 .

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 = 1010211100983 and 1010211101001.

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 47 ways as a sum of consecutive naturals, for example, 4652424 + ... + 4864716.

Almost surely, 21010211101010 is an apocalyptic number.

1010211101010 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 1010211101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349718547320).

1010211101010 is an abundant number, since it is smaller than the sum of its proper divisors (1689225993630).

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

1010211101010 is a wasteful number, since it uses less digits than its factorization.

1010211101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213772 (or 213769 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1010211101010 its reverse (101011120101), we get a palindrome (1111222221111).

The spelling of 1010211101010 in words is "one trillion, ten billion, two hundred eleven million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1429 1665 2858 3330 4287 7145 8574 12861 14290 21435 25722 42870 52873 64305 105746 128610 158619 212293 264365 317238 424586 475857 528730 636879 793095 951714 1061465 1273758 1586190 1910637 2122930 2379285 3184395 3821274 4758570 6368790 7854841 9553185 15709682 19106370 23564523 39274205 47129046 70693569 78548410 117822615 141387138 235645230 303366697 353467845 606733394 706935690 910100091 1516833485 1820200182 2730300273 3033666970 4550500455 5460600546 9101000910 11224567789 13651501365 22449135578 27303002730 33673703367 56122838945 67347406734 101021110101 112245677890 168368516835 202042220202 336737033670 505105550505 1010211101010