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1121002022010 = 2351319957725033
BaseRepresentation
bin10000010100000000111…
…011010110010001111010
310222011111120002000202210
4100110000323112101322
5121331303004201020
62214551535435550
7143663321653263
oct20240073262172
93864446060683
101121002022010
113a2461464a82
12161311385bb6
138192cc4a530
143c3848a596a
151e25e69c3e0
hex10500ed647a

1121002022010 has 128 divisors (see below), whose sum is σ = 2917081843200. Its totient is φ = 274065555456.

The previous prime is 1121002021963. The next prime is 1121002022011. The reversal of 1121002022010 is 102202001211.

It is not an unprimeable number, because it can be changed into a prime (1121002022011) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 44768454 + ... + 44793486.

It is an arithmetic number, because the mean of its divisors is an integer number (22789701900).

Almost surely, 21121002022010 is an apocalyptic number.

1121002022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121002022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458540921600).

1121002022010 is an abundant number, since it is smaller than the sum of its proper divisors (1796079821190).

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

1121002022010 is a wasteful number, since it uses less digits than its factorization.

1121002022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25832.

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

Adding to 1121002022010 its reverse (102202001211), we get a palindrome (1223204023221).

The spelling of 1121002022010 in words is "one trillion, one hundred twenty-one billion, two million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 199 390 398 577 597 995 1154 1194 1731 1990 2587 2885 2985 3462 5174 5770 5970 7501 7761 8655 12935 15002 15522 17310 22503 25033 25870 37505 38805 45006 50066 75010 75099 77610 112515 114823 125165 150198 225030 229646 250330 325429 344469 375495 574115 650858 688938 750990 976287 1148230 1492699 1627145 1722345 1952574 2985398 3254290 3444690 4478097 4881435 4981567 7463495 8956194 9762870 9963134 14444041 14926990 14944701 22390485 24907835 28888082 29889402 43332123 44780970 49815670 64760371 72220205 74723505 86664246 129520742 144440410 149447010 187772533 194281113 216660615 323801855 375545066 388562226 433321230 563317599 647603710 938862665 971405565 1126635198 1877725330 1942811130 2816587995 2874364159 5633175990 5748728318 8623092477 14371820795 17246184954 28743641590 37366734067 43115462385 74733468134 86230924770 112100202201 186833670335 224200404402 373667340670 560501011005 1121002022010