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100034342024331 = 31113233180284439
BaseRepresentation
bin10110101111101100001111…
…011010111111010010001011
3111010012012010021220010021210
4112233230033122333102023
5101102430313024234311
6552431050423304203
730033146151423201
oct2657541732772213
9433165107803253
10100034342024331
1129968365201370
12b2773aa8ab063
1343a8275c525c0
141a9b98bba3071
15b871c96ce3a6
hex5afb0f6bf48b

100034342024331 has 16 divisors (see below), whose sum is σ = 156697151143680. Its totient is φ = 55963268265120.

The previous prime is 100034342024329. The next prime is 100034342024363. The reversal of 100034342024331 is 133420243430001.

It is a happy number.

It is not a de Polignac number, because 100034342024331 - 21 = 100034342024329 is a prime.

It is a super-2 number, since 2×1000343420243312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100034342024321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116590141791 + ... + 116590142648.

It is an arithmetic number, because the mean of its divisors is an integer number (9793571946480).

Almost surely, 2100034342024331 is an apocalyptic number.

100034342024331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100034342024331 is a deficient number, since it is larger than the sum of its proper divisors (56662809119349).

100034342024331 is a wasteful number, since it uses less digits than its factorization.

100034342024331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233180284466.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 100034342024331 its reverse (133420243430001), we get a palindrome (233454585454332).

The spelling of 100034342024331 in words is "one hundred trillion, thirty-four billion, three hundred forty-two million, twenty-four thousand, three hundred thirty-one".

Divisors: 1 3 11 13 33 39 143 429 233180284439 699540853317 2564983128829 3031343697707 7694949386487 9094031093121 33344780674777 100034342024331