Search a number
-
+
100677272722449 = 32337353911142947
BaseRepresentation
bin10110111001000011000001…
…000100111101110000010001
3111012110122122020102121022020
4112321003001010331300101
5101143444023304104244
6554042300043402053
730130456446246333
oct2671030104756021
9435418566377266
10100677272722449
112a095a9a889865
12b35bb1ab23329
134423a97b90a57
141ac0b3d93b453
15b98ca8488d19
hex5b90c113dc11

100677272722449 has 32 divisors (see below), whose sum is σ = 143899139036160. Its totient is φ = 62447208829632.

The previous prime is 100677272722447. The next prime is 100677272722469. The reversal of 100677272722449 is 944227272776001.

It is a happy number.

It is not a de Polignac number, because 100677272722449 - 21 = 100677272722447 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100677272722392 and 100677272722401.

It is not an unprimeable number, because it can be changed into a prime (100677272722447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3463594 + ... + 14606540.

It is an arithmetic number, because the mean of its divisors is an integer number (4496848094880).

Almost surely, 2100677272722449 is an apocalyptic number.

It is an amenable number.

100677272722449 is a deficient number, since it is larger than the sum of its proper divisors (43221866313711).

100677272722449 is a wasteful number, since it uses less digits than its factorization.

100677272722449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11146549.

The product of its (nonzero) digits is 33191424, while the sum is 60.

The spelling of 100677272722449 in words is "one hundred trillion, six hundred seventy-seven billion, two hundred seventy-two million, seven hundred twenty-two thousand, four hundred forty-nine".

Divisors: 1 3 23 37 69 111 851 2553 3539 10617 81397 130943 244191 392829 3011689 9035067 11142947 33428841 256287781 412289039 768863343 1236867117 9482647897 28447943691 39434889433 118304668299 907002456959 1459090909021 2721007370877 4377272727063 33559090907483 100677272722449