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100343252045 = 5376110188037
BaseRepresentation
bin101110101110011101…
…1001000010001001101
3100121000002112100112102
41131130323020101031
53121000333031140
6114032544044445
710151412366221
oct1353473102115
9317002470472
10100343252045
1139612171483
1217544903725
13960197236a
144bdc892781
15292443de15
hex175cec844d

100343252045 has 32 divisors (see below), whose sum is σ = 126939527136. Its totient is φ = 76063104000.

The previous prime is 100343251979. The next prime is 100343252057. The reversal of 100343252045 is 540252343001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1483944484 + 98859307561 = 38522^2 + 314419^2 .

It is not a de Polignac number, because 100343252045 - 216 = 100343186509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100343251999 and 100343252017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095767 + ... + 1183803.

It is an arithmetic number, because the mean of its divisors is an integer number (3966860223).

Almost surely, 2100343252045 is an apocalyptic number.

It is an amenable number.

100343252045 is a deficient number, since it is larger than the sum of its proper divisors (26596275091).

100343252045 is a wasteful number, since it uses less digits than its factorization.

100343252045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88241.

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 100343252045 its reverse (540252343001), we get a palindrome (640595595046).

The spelling of 100343252045 in words is "one hundred billion, three hundred forty-three million, two hundred fifty-two thousand, forty-five".

Divisors: 1 5 37 61 101 185 305 505 2257 3737 6161 11285 18685 30805 88037 227957 440185 1139785 3257369 5370257 8891737 16286845 26851285 44458685 198699509 328994269 542395957 993497545 1644971345 2711979785 20068650409 100343252045