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100444420035 = 3353743467651
BaseRepresentation
bin101110110001011110…
…1000011011111000011
3100121021010220012221000
41131202331003133003
53121202232420120
6114051000303043
710154051324511
oct1354275033703
9317233805830
10100444420035
1139664290493
1217572771a83
13961990468b
144c0c0a94b1
15292d274990
hex1762f437c3

100444420035 has 64 divisors (see below), whose sum is σ = 187659394560. Its totient is φ = 50910249600.

The previous prime is 100444420001. The next prime is 100444420093. The reversal of 100444420035 is 530024444001.

It is a happy number.

100444420035 is a `hidden beast` number, since 10 + 0 + 4 + 444 + 200 + 3 + 5 = 666.

It is not a de Polignac number, because 100444420035 - 211 = 100444417987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100444419990 and 100444420008.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19041 + ... + 448610.

It is an arithmetic number, because the mean of its divisors is an integer number (2932178040).

Almost surely, 2100444420035 is an apocalyptic number.

100444420035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100444420035 is a deficient number, since it is larger than the sum of its proper divisors (87214974525).

100444420035 is a wasteful number, since it uses less digits than its factorization.

100444420035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467745 (or 467739 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 100444420035 its reverse (530024444001), we get a palindrome (630468864036).

The spelling of 100444420035 in words is "one hundred billion, four hundred forty-four million, four hundred twenty thousand, thirty-five".

Divisors: 1 3 5 9 15 27 37 43 45 111 129 135 185 215 333 387 555 645 999 1161 1591 1665 1935 4773 4995 5805 7955 14319 23865 42957 71595 214785 467651 1402953 2338255 4208859 7014765 12626577 17303087 20108993 21044295 51909261 60326979 63132885 86515435 100544965 155727783 180980937 259546305 301634895 467183349 542942811 744032741 778638915 904904685 2232098223 2335916745 2714714055 3720163705 6696294669 11160491115 20088884007 33481473345 100444420035