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100340043001 = 1173971379403
BaseRepresentation
bin101110101110010111…
…0111000110011111001
3100120222212111022112221
41131130232320303321
53120444022334001
6114032351204041
710151343202342
oct1353456706371
9316885438487
10100340043001
113961037a480
1217543816621
1396010ba813
144bdc2990c9
1529240081a1
hex175cbb8cf9

100340043001 has 32 divisors (see below), whose sum is σ = 112935570048. Its totient is φ = 88381808640.

The previous prime is 100340042987. The next prime is 100340043019.

100340043001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100340043001 - 221 = 100337945849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100340043091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10666366 + ... + 10675768.

It is an arithmetic number, because the mean of its divisors is an integer number (3529236564).

Almost surely, 2100340043001 is an apocalyptic number.

100340043001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100340043001 is a deficient number, since it is larger than the sum of its proper divisors (12595527047).

100340043001 is a wasteful number, since it uses less digits than its factorization.

100340043001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9721.

The product of its (nonzero) digits is 144, while the sum is 16.

It can be divided in two parts, 1003400 and 43001, that added together give a palindrome (1046401).

The spelling of 100340043001 in words is "one hundred billion, three hundred forty million, forty-three thousand, one".

Divisors: 1 11 73 97 137 803 1067 1507 7081 9403 10001 13289 77891 103433 110011 146179 686419 912091 970097 1288211 7550609 10033001 10671067 14170321 66582643 94039403 124956467 732409073 1034433433 1374521137 9121822091 100340043001