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100315203354031 = 1719619652976847
BaseRepresentation
bin10110110011110001110100…
…000011111011110110101111
3111011012001002000000222000011
4112303301310003323312233
5101122031014024312111
6553204100200314051
730062351153351131
oct2663616403736657
9434161060028004
10100315203354031
1129a66491099376
12b301912772927
1343c88b5980713
141aab3d3191051
15b8e666a61021
hex5b3c740fbdaf

100315203354031 has 32 divisors (see below), whose sum is σ = 112005652608000. Its totient is φ = 89285796052992.

The previous prime is 100315203354019. The next prime is 100315203354127. The reversal of 100315203354031 is 130453302513001.

It is a happy number.

It is not a de Polignac number, because 100315203354031 - 213 = 100315203345839 is a prime.

It is a super-2 number, since 2×1003152033540312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100315203353984 and 100315203354002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100315203352031) 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 31 ways as a sum of consecutive naturals, for example, 1305350250 + ... + 1305427096.

It is an arithmetic number, because the mean of its divisors is an integer number (3500176644000).

Almost surely, 2100315203354031 is an apocalyptic number.

100315203354031 is a deficient number, since it is larger than the sum of its proper divisors (11690449253969).

100315203354031 is a wasteful number, since it uses less digits than its factorization.

100315203354031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84031.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 100315203354031 its reverse (130453302513001), we get a palindrome (230768505867032).

The spelling of 100315203354031 in words is "one hundred trillion, three hundred fifteen billion, two hundred three million, three hundred fifty-four thousand, thirty-one".

Divisors: 1 17 19 323 619 6529 10523 11761 76847 110993 124051 199937 1306399 1460093 2108867 4041451 24821581 47568293 68704667 76787569 501734063 808660981 903797567 1305388673 8529479071 9532947197 15364558639 162060102349 310573384997 5279747544949 5900894314943 100315203354031