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20122201000 = 2353112963079
BaseRepresentation
bin10010101111011000…
…000110101110101000
31220221100110201111201
4102233120012232220
5312202240413000
613124412333544
71311434613016
oct225730065650
956840421451
1020122201000
118596504490
123a96a742b4
131b88ac2615
14d8c6158b6
157cb85896a
hex4af606ba8

20122201000 has 128 divisors (see below), whose sum is σ = 53138592000. Its totient is φ = 7064736000.

The previous prime is 20122200979. The next prime is 20122201019. The reversal of 20122201000 is 10222102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287461 + ... + 350539.

It is an arithmetic number, because the mean of its divisors is an integer number (415145250).

Almost surely, 220122201000 is an apocalyptic number.

20122201000 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 20122201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569296000).

20122201000 is an abundant number, since it is smaller than the sum of its proper divisors (33016391000).

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

20122201000 is a wasteful number, since it uses less digits than its factorization.

20122201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63140 (or 63126 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20122201000 its reverse (10222102), we get a palindrome (20132423102).

It can be divided in two parts, 20122 and 201000, that added together give a palindrome (221122).

The spelling of 20122201000 in words is "twenty billion, one hundred twenty-two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 1000 1100 1160 1276 1375 1450 1595 2200 2552 2750 2900 3190 3625 5500 5800 6380 7250 7975 11000 12760 14500 15950 29000 31900 39875 63079 63800 79750 126158 159500 252316 315395 319000 504632 630790 693869 1261580 1387738 1576975 1829291 2523160 2775476 3153950 3469345 3658582 5550952 6307900 6938690 7317164 7884875 9146455 12615800 13877380 14634328 15769750 17346725 18292910 20122201 27754760 31539500 34693450 36585820 40244402 45732275 63079000 69386900 73171640 80488804 86733625 91464550 100611005 138773800 160977608 173467250 182929100 201222010 228661375 346934500 365858200 402444020 457322750 503055025 693869000 804888040 914645500 1006110050 1829291000 2012220100 2515275125 4024440200 5030550250 10061100500 20122201000