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101343423120 = 24354211003003
BaseRepresentation
bin101111001100010001…
…0011110101010010000
3100200120210112022022120
41132120202132222100
53130022404014440
6114320113134240
710215245611662
oct1363042365220
9320523468276
10101343423120
1139a857a1845
121778385a380
139730c3c374
144c95646532
152982155dd0
hex179889ea90

101343423120 has 80 divisors (see below), whose sum is σ = 314911159872. Its totient is φ = 26960693760.

The previous prime is 101343423119. The next prime is 101343423121. The reversal of 101343423120 is 21324343101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101343423119) and next prime (101343423121).

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101343423121) 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, 400462 + ... + 602541.

Almost surely, 2101343423120 is an apocalyptic number.

101343423120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101343423120 is an abundant number, since it is smaller than the sum of its proper divisors (213567736752).

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

101343423120 is a wasteful number, since it uses less digits than its factorization.

101343423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003440 (or 1003434 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101343423120 its reverse (21324343101), we get a palindrome (122667766221).

The spelling of 101343423120 in words is "one hundred one billion, three hundred forty-three million, four hundred twenty-three thousand, one hundred twenty".

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 1003003 2006006 3009009 4012012 5015015 6018018 8024024 10030030 12036036 15045045 16048048 20060060 24072072 30090090 40120120 48144144 60180180 80240240 120360360 240720720 422264263 844528526 1266792789 1689057052 2111321315 2533585578 3378114104 4222642630 5067171156 6333963945 6756228208 8445285260 10134342312 12667927890 16890570520 20268684624 25335855780 33781141040 50671711560 101343423120