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210221202100 = 225271331745201
BaseRepresentation
bin1100001111001000101…
…0001111101010110100
3202002121200021112212011
43003302022033222310
511421013111431400
6240324013534004
721121322510020
oct3036212175264
9662550245764
10210221202100
118117742a668
12348aa7a4304
1316a92aa8260
14a263785380
1557059788ba
hex30f228fab4

210221202100 has 144 divisors (see below), whose sum is σ = 579564461056. Its totient is φ = 64385280000.

The previous prime is 210221202013. The next prime is 210221202179. The reversal of 210221202100 is 1202122012.

It is a happy number.

210221202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 90501 + ... + 654700.

Almost surely, 2210221202100 is an apocalyptic number.

210221202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210221202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289782230528).

210221202100 is an abundant number, since it is smaller than the sum of its proper divisors (369343258956).

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

210221202100 is a wasteful number, since it uses less digits than its factorization.

210221202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745266 (or 745259 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 210221202100 its reverse (1202122012), we get a palindrome (211423324112).

The spelling of 210221202100 in words is "two hundred ten billion, two hundred twenty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 31 35 50 52 62 65 70 91 100 124 130 140 155 175 182 217 260 310 325 350 364 403 434 455 620 650 700 775 806 868 910 1085 1300 1550 1612 1820 2015 2170 2275 2821 3100 4030 4340 4550 5425 5642 8060 9100 10075 10850 11284 14105 20150 21700 28210 40300 56420 70525 141050 282100 745201 1490402 2980804 3726005 5216407 7452010 9687613 10432814 14904020 18630025 19375226 20865628 23101231 26082035 37260050 38750452 46202462 48438065 52164070 67813291 74520100 92404924 96876130 104328140 115506155 130410175 135626582 161708617 193752260 231012310 242190325 260820350 271253164 300316003 323417234 339066455 462024620 484380650 521640700 577530775 600632006 646834468 678132910 808543085 968761300 1155061550 1201264012 1356265820 1501580015 1617086170 1695332275 2102212021 2310123100 3003160030 3234172340 3390664550 4042715425 4204424042 6006320060 6781329100 7507900075 8085430850 8408848084 10511060105 15015800150 16170861700 21022120210 30031600300 42044240420 52555300525 105110601050 210221202100