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210101221242 = 232112957164081
BaseRepresentation
bin1100001110101100000…
…0100011011101111010
3202002022022111220001200
43003223000203131322
511420241403034432
6240304050155030
721115334625423
oct3035300433572
9662268456050
10210101221242
1181115731230
1234876582a76
1316a73c89c73
14a25187264a
1556ea178a7c
hex30eb02377a

210101221242 has 96 divisors (see below), whose sum is σ = 514634852160. Its totient is φ = 61363008000.

The previous prime is 210101221207. The next prime is 210101221243. The reversal of 210101221242 is 242122101012.

210101221242 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 (18).

It is not an unprimeable number, because it can be changed into a prime (210101221243) by changing a digit.

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, 3246642 + ... + 3310722.

It is an arithmetic number, because the mean of its divisors is an integer number (5360779710).

Almost surely, 2210101221242 is an apocalyptic number.

210101221242 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 210101221242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257317426080).

210101221242 is an abundant number, since it is smaller than the sum of its proper divisors (304533630918).

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

210101221242 is a wasteful number, since it uses less digits than its factorization.

210101221242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64700 (or 64697 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210101221242 its reverse (242122101012), we get a palindrome (452223322254).

The spelling of 210101221242 in words is "two hundred ten billion, one hundred one million, two hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 571 638 957 1142 1713 1914 2871 3426 5139 5742 6281 10278 12562 16559 18843 33118 37686 49677 56529 64081 99354 113058 128162 149031 182149 192243 298062 364298 384486 546447 576729 704891 1092894 1153458 1409782 1639341 1858349 2114673 3278682 3716698 4229346 5575047 6344019 11150094 12688038 16725141 20441839 33450282 36590251 40883678 61325517 73180502 109770753 122651034 183976551 219541506 329312259 367953102 402492761 658624518 804985522 1061117279 1207478283 2122234558 2414956566 3183351837 3622434849 6366703674 7244869698 9550055511 11672290069 19100111022 23344580138 35016870207 70033740414 105050610621 210101221242