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101212346440 = 235101151251661
BaseRepresentation
bin101111001000010111…
…0011101100001001000
3100200020122212220220201
41132100232131201020
53124240330041230
6114255111501544
710212064515142
oct1362056354110
9320218786821
10101212346440
1139a18804a07
12177479878b4
13970ca377ba
144c82085c92
1529758b35ca
hex1790b9d848

101212346440 has 128 divisors (see below), whose sum is σ = 232779536640. Its totient is φ = 39600000000.

The previous prime is 101212346393. The next prime is 101212346453. The reversal of 101212346440 is 44643212101.

It is a junction number, because it is equal to n+sod(n) for n = 101212346399 and 101212346408.

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, 153119710 + ... + 153120370.

It is an arithmetic number, because the mean of its divisors is an integer number (1818590130).

Almost surely, 2101212346440 is an apocalyptic number.

101212346440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212346440 is an abundant number, since it is smaller than the sum of its proper divisors (131567190200).

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

101212346440 is a wasteful number, since it uses less digits than its factorization.

101212346440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 101212346440 its reverse (44643212101), we get a palindrome (145855558541).

The spelling of 101212346440 in words is "one hundred one billion, two hundred twelve million, three hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 101 151 202 251 302 404 502 505 604 661 755 808 1004 1010 1208 1255 1322 1510 2008 2020 2510 2644 3020 3305 4040 5020 5288 6040 6610 10040 13220 15251 25351 26440 30502 37901 50702 61004 66761 75802 76255 99811 101404 122008 126755 133522 151604 152510 165911 189505 199622 202808 253510 267044 303208 305020 331822 333805 379010 399244 499055 507020 534088 610040 663644 667610 758020 798488 829555 998110 1014040 1327288 1335220 1516040 1659110 1996220 2670440 3318220 3828001 3992440 6636440 7656002 10080911 15312004 16757011 19140005 20161822 25052561 30624008 33514022 38280010 40323644 50105122 50404555 67028044 76560020 80647288 83785055 100210244 100809110 125262805 134056088 153120040 167570110 200420488 201618220 250525610 335140220 403236440 501051220 670280440 1002102440 2530308661 5060617322 10121234644 12651543305 20242469288 25303086610 50606173220 101212346440