Search a number
-
+
210201120001002 = 231319733793512249
BaseRepresentation
bin101111110010110101000011…
…000101101100101111101010
31000120021000211110121221102210
4233302311003011230233222
5210022413343210013002
62023021021134105550
762163346464534144
oct5762650305545752
91016230743557383
10210201120001002
1160a81881343929
121b6aa47594b2b6
139039b5a79ac50
1439c9b0789bc94
151947c3093d96c
hexbf2d4316cbea

210201120001002 has 128 divisors (see below), whose sum is σ = 483225996960000. Its totient is φ = 60417791115264.

The previous prime is 210201120000973. The next prime is 210201120001003. The reversal of 210201120001002 is 200100021102012.

It is a super-3 number, since 3×2102011200010023 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (210201120001003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410093374 + ... + 410605622.

It is an arithmetic number, because the mean of its divisors is an integer number (3775203101250).

Almost surely, 2210201120001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210201120001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241612998480000).

210201120001002 is an abundant number, since it is smaller than the sum of its proper divisors (273024876958998).

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

210201120001002 is a wasteful number, since it uses less digits than its factorization.

210201120001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516152.

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

Adding to 210201120001002 its reverse (200100021102012), we get a palindrome (410301141103014).

The spelling of 210201120001002 in words is "two hundred ten trillion, two hundred one billion, one hundred twenty million, one thousand, two".

Divisors: 1 2 3 6 13 19 26 38 39 57 73 78 114 146 219 247 438 494 741 949 1387 1482 1898 2774 2847 3793 4161 5694 7586 8322 11379 18031 22758 36062 49309 54093 72067 98618 108186 144134 147927 216201 276889 295854 432402 512249 553778 830667 936871 1024498 1536747 1661334 1873742 2810613 3073494 3599557 5260891 5621226 6659237 7199114 9732731 10521782 10798671 13318474 15782673 19465462 19977711 21597342 29198193 31565346 37394177 39955422 58396386 68391583 74788354 112182531 126525503 136783166 205174749 224365062 253051006 379576509 410349498 486124301 710489363 759153018 972248602 1420978726 1458372903 1942960457 2131468089 2916745806 3885920914 4262936178 5828881371 9236361719 11657762742 18472723438 25258485941 27709085157 36916248683 50516971882 55418170314 73832497366 75775457823 110748746049 141836113361 151550915646 221497492098 283672226722 425508340083 479911232879 851016680166 959822465758 1439733698637 1843869473693 2694886153859 2879467397274 3687738947386 5389772307718 5531608421079 8084658461577 11063216842158 16169316923154 35033520000167 70067040000334 105100560000501 210201120001002