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201001121010 = 23253767389689
BaseRepresentation
bin1011101100110010011…
…0011011010011110010
3201012211010001220100100
42323030212123103302
511243122241333020
6232201051333230
720343665224104
oct2731446332362
9635733056310
10201001121010
1178275990238
1232b56a51216
1315c5385c681
149a2b041574
1553662c7a90
hex2ecc99b4f2

201001121010 has 96 divisors (see below), whose sum is σ = 537530825520. Its totient is φ = 52073570304.

The previous prime is 201001120981. The next prime is 201001121017. The reversal of 201001121010 is 10121100102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 129982601961 + 71018519049 = 360531^2 + 266493^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 201001120983 and 201001121001.

It is not an unprimeable number, because it can be changed into a prime (201001121017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2196246 + ... + 2285934.

Almost surely, 2201001121010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201001121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268765412760).

201001121010 is an abundant number, since it is smaller than the sum of its proper divisors (336529704510).

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

201001121010 is a wasteful number, since it uses less digits than its factorization.

201001121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90412 (or 90409 counting only the distinct ones).

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

Adding to 201001121010 its reverse (10121100102), we get a palindrome (211122221112).

The spelling of 201001121010 in words is "two hundred one billion, one million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 673 1110 1346 1665 2019 3330 3365 4038 6057 6730 10095 12114 20190 24901 30285 49802 60570 74703 89689 124505 149406 179378 224109 249010 269067 373515 448218 448445 538134 747030 807201 896890 1120545 1345335 1614402 2241090 2690670 3318493 4036005 6636986 8072010 9955479 16592465 19910958 29866437 33184930 49777395 59732874 60360697 99554790 120721394 149332185 181082091 298664370 301803485 362164182 543246273 603606970 905410455 1086492546 1810820910 2233345789 2716231365 4466691578 5432462730 6700037367 11166728945 13400074734 20100112101 22333457890 33500186835 40200224202 67000373670 100500560505 201001121010