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210221101002 = 231143444716657
BaseRepresentation
bin1100001111001000100…
…1110110111111001010
3202002121200002102011210
43003302021312333022
511421013100213002
6240324011433550
721121321606203
oct3036211667712
9662550072153
10210221101002
1181177370710
12348aa7558b6
1316a92a71233
14a26375a5aa
15570595896c
hex30f2276fca

210221101002 has 64 divisors (see below), whose sum is σ = 469464551424. Its totient is φ = 62204163840.

The previous prime is 210221100983. The next prime is 210221101021. The reversal of 210221101002 is 200101122012.

It is an interprime number because it is at equal distance from previous prime (210221100983) and next prime (210221101021).

It is a super-2 number, since 2×2102211010022 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12612258 + ... + 12628914.

It is an arithmetic number, because the mean of its divisors is an integer number (7335383616).

Almost surely, 2210221101002 is an apocalyptic number.

210221101002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 210221101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234732275712).

210221101002 is an abundant number, since it is smaller than the sum of its proper divisors (259243450422).

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

210221101002 is a wasteful number, since it uses less digits than its factorization.

210221101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21163.

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

Adding to 210221101002 its reverse (200101122012), we get a palindrome (410322223014).

The spelling of 210221101002 in words is "two hundred ten billion, two hundred twenty-one million, one hundred one thousand, two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2838 4447 8894 13341 16657 26682 33314 48917 49971 97834 99942 146751 183227 191221 293502 366454 382442 549681 573663 716251 1099362 1147326 1432502 2103431 2148753 4206862 4297506 6310293 7878761 12620586 15757522 23636283 47272566 74073679 148147358 222221037 444442074 814810469 1629620938 2444431407 3185168197 4888862814 6370336394 9555504591 19111009182 35036850167 70073700334 105110550501 210221101002