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210100010222010 = 235291017193332411
BaseRepresentation
bin101111110001010110111000…
…011110100000000110111010
31000112220100211221201222121110
4233301112320132200012322
5210014234310104101020
62022502340124421150
762153140053563316
oct5761267036400672
91015810757658543
10210100010222010
1160a42a06524407
121b6929583a77b6
13903046609575c
1439c4c752b4b46
1519452b408a8e0
hexbf15b87a01ba

210100010222010 has 128 divisors (see below), whose sum is σ = 526867063176960. Its totient is φ = 53551516928000.

The previous prime is 210100010221993. The next prime is 210100010222021. The reversal of 210100010222010 is 10222010001012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631882705 + ... + 632215115.

It is an arithmetic number, because the mean of its divisors is an integer number (4116148931070).

Almost surely, 2210100010222010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210100010222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263433531588480).

210100010222010 is an abundant number, since it is smaller than the sum of its proper divisors (316767052954950).

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

210100010222010 is a wasteful number, since it uses less digits than its factorization.

210100010222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339744.

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

Adding to 210100010222010 its reverse (10222010001012), we get a palindrome (220322020223022).

The spelling of 210100010222010 in words is "two hundred ten trillion, one hundred billion, ten million, two hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 101 145 174 202 290 303 435 505 606 870 1010 1515 2929 3030 5858 7193 8787 14386 14645 17574 21579 29290 35965 43158 43935 71930 87870 107895 208597 215790 332411 417194 625791 664822 726493 997233 1042985 1251582 1452986 1662055 1994466 2085970 2179479 3128955 3324110 3632465 4358958 4986165 6257910 7264930 9639919 9972330 10897395 19279838 21068297 21794790 28919757 33573511 42136594 48199595 57839514 63204891 67147022 96399190 100720533 105341485 126409782 144598785 167867555 201441066 210682970 289197570 316024455 335735110 503602665 632048910 973631819 1007205330 1947263638 2391032323 2920895457 4782064646 4868159095 5841790914 7173096969 9736318190 11955161615 14346193938 14604477285 23910323230 29208954570 35865484845 69339937367 71730969690 138679874734 208019812101 241494264623 346699686835 416039624202 482988529246 693399373670 724482793869 1040099060505 1207471323115 1448965587738 2080198121010 2414942646230 3622413969345 7003333674067 7244827938690 14006667348134 21010001022201 35016668370335 42020002044402 70033336740670 105050005111005 210100010222010