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1004220101010 = 2357137318110973
BaseRepresentation
bin11101001110100000010…
…11101011000110010010
310120000001211021202202110
432213100023223012102
5112423120321213020
62045155441530150
7132360340006350
oct16472013530622
93500054252673
101004220101010
11357984081285
1214275b343956
137390b691929
1436866ad27d0
151b1c6eb68e0
hexe9d02eb192

1004220101010 has 128 divisors (see below), whose sum is σ = 2775662774784. Its totient is φ = 227768186880.

The previous prime is 1004220100993. The next prime is 1004220101011. The reversal of 1004220101010 is 101010224001.

It is a happy number.

It is a super-3 number, since 3×10042201010103 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1004220101011) 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 63 ways as a sum of consecutive naturals, for example, 91511884 + ... + 91522856.

It is an arithmetic number, because the mean of its divisors is an integer number (21684865428).

Almost surely, 21004220101010 is an apocalyptic number.

1004220101010 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 1004220101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387831387392).

1004220101010 is an abundant number, since it is smaller than the sum of its proper divisors (1771442673774).

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

1004220101010 is a wasteful number, since it uses less digits than its factorization.

1004220101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14308.

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

Adding to 1004220101010 its reverse (101010224001), we get a palindrome (1105230325011).

The spelling of 1004220101010 in words is "one trillion, four billion, two hundred twenty million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 137 210 274 411 685 822 959 1370 1918 2055 2877 3181 4110 4795 5754 6362 9543 9590 10973 14385 15905 19086 21946 22267 28770 31810 32919 44534 47715 54865 65838 66801 76811 95430 109730 111335 133602 153622 164595 222670 230433 329190 334005 384055 435797 460866 668010 768110 871594 1152165 1307391 1503301 2178985 2304330 2614782 3006602 3050579 4357970 4509903 6101158 6536955 7516505 9019806 9151737 10523107 13073910 15033010 15252895 18303474 21046214 22549515 30505790 31569321 34905113 45099030 45758685 52615535 63138642 69810226 91517370 104715339 105231070 157846605 174525565 209430678 244335791 315693210 349051130 488671582 523576695 733007373 1047153390 1221678955 1466014746 2443357910 3665036865 4782000481 7330073730 9564000962 14346001443 23910002405 28692002886 33474003367 47820004810 66948006734 71730007215 100422010101 143460014430 167370016835 200844020202 334740033670 502110050505 1004220101010