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101343040040 = 23511254990359
BaseRepresentation
bin101111001100010000…
…1000001001000101000
3100200120202210211211102
41132120201001020220
53130022304240130
6114320101020532
710215242425064
oct1363041011050
9320522724742
10101343040040
1139a8555aa50
12177836b4748
139730b36ba8
144c95586aa4
1529820cc645
hex1798841228

101343040040 has 64 divisors (see below), whose sum is σ = 248851440000. Its totient is φ = 36837149440.

The previous prime is 101343040033. The next prime is 101343040061. The reversal of 101343040040 is 40040343101.

It is a happy number.

101343040040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101343039994 and 101343040021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1076381 + ... + 1166739.

It is an arithmetic number, because the mean of its divisors is an integer number (3888303750).

Almost surely, 2101343040040 is an apocalyptic number.

101343040040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101343040040 is an abundant number, since it is smaller than the sum of its proper divisors (147508399960).

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

101343040040 is a wasteful number, since it uses less digits than its factorization.

101343040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92930 (or 92926 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 101343040040 its reverse (40040343101), we get a palindrome (141383383141).

The spelling of 101343040040 in words is "one hundred one billion, three hundred forty-three million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2549 5098 10196 12745 20392 25490 28039 50980 56078 90359 101960 112156 140195 180718 224312 280390 361436 451795 560780 722872 903590 993949 1121560 1807180 1987898 3614360 3975796 4969745 7951592 9939490 19878980 39757960 230325091 460650182 921300364 1151625455 1842600728 2303250910 2533576001 4606501820 5067152002 9213003640 10134304004 12667880005 20268608008 25335760010 50671520020 101343040040