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60401040100 = 225241101145861
BaseRepresentation
bin111000010000001011…
…101011101011100100
312202220110012202100021
4320100023223223210
51442200131240400
643425311524524
74235536240552
oct702013535344
9182813182307
1060401040100
11236858a3465
12b858229744
13590787401b
142ccdc48bd2
151887a6e71a
hexe102ebae4

60401040100 has 72 divisors (see below), whose sum is σ = 135597399336. Its totient is φ = 23337600000.

The previous prime is 60401040061. The next prime is 60401040149. The reversal of 60401040100 is 104010406.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 25848922176 + 34552117924 = 160776^2 + 185882^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341170 + ... + 487030.

It is an arithmetic number, because the mean of its divisors is an integer number (1883297213).

Almost surely, 260401040100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60401040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67798699668).

60401040100 is an abundant number, since it is smaller than the sum of its proper divisors (75196359236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

60401040100 is a wasteful number, since it uses less digits than its factorization.

60401040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146017 (or 146010 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 60401040100 its reverse (104010406), we get a palindrome (60505050506).

The spelling of 60401040100 in words is "sixty billion, four hundred one million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 101 164 202 205 404 410 505 820 1010 1025 2020 2050 2525 4100 4141 5050 8282 10100 16564 20705 41410 82820 103525 145861 207050 291722 414100 583444 729305 1458610 2917220 3646525 5980301 7293050 11960602 14586100 14731961 23921204 29463922 29901505 58927844 59803010 73659805 119606020 147319610 149507525 294639220 299015050 368299025 598030100 604010401 736598050 1208020802 1473196100 2416041604 3020052005 6040104010 12080208020 15100260025 30200520050 60401040100