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101343221040 = 24354211003001
BaseRepresentation
bin101111001100010000…
…1101101010100110000
3100200120210011001010010
41132120201231110300
53130022331033130
6114320104534520
710215244110555
oct1363041552460
9320523131103
10101343221040
1139a85673a36
1217783781440
139730b9b3a9
144c955d2a2c
1529821160b0
hex179886d530

101343221040 has 80 divisors (see below), whose sum is σ = 314910531936. Its totient is φ = 26960640000.

The previous prime is 101343221033. The next prime is 101343221047. The reversal of 101343221040 is 40122343101.

It is an interprime number because it is at equal distance from previous prime (101343221033) and next prime (101343221047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 101343220998 and 101343221016.

It is not an unprimeable number, because it can be changed into a prime (101343221047) 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 15 ways as a sum of consecutive naturals, for example, 400461 + ... + 602540.

Almost surely, 2101343221040 is an apocalyptic number.

101343221040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101343221040 is an abundant number, since it is smaller than the sum of its proper divisors (213567310896).

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

101343221040 is a wasteful number, since it uses less digits than its factorization.

101343221040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003438 (or 1003432 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101343221040 its reverse (40122343101), we get a palindrome (141465564141).

The spelling of 101343221040 in words is "one hundred one billion, three hundred forty-three million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 421 842 1263 1684 2105 2526 3368 4210 5052 6315 6736 8420 10104 12630 16840 20208 25260 33680 50520 101040 1003001 2006002 3009003 4012004 5015005 6018006 8024008 10030010 12036012 15045015 16048016 20060020 24072024 30090030 40120040 48144048 60180060 80240080 120360120 240720240 422263421 844526842 1266790263 1689053684 2111317105 2533580526 3378107368 4222634210 5067161052 6333951315 6756214736 8445268420 10134322104 12667902630 16890536840 20268644208 25335805260 33781073680 50671610520 101343221040