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612131211060 = 2235101327130881
BaseRepresentation
bin10001110100001011101…
…11010000011100110100
32011112000110212102120120
420322011313100130310
540012121042223220
61145113104131540
762140116305205
oct10720567203464
92145013772516
10612131211060
11216670123a66
129a775606bb0
1345954042ac5
14218ad4995ac
1510dc9daaa40
hex8e85dd0734

612131211060 has 96 divisors (see below), whose sum is σ = 1731522610944. Its totient is φ = 161564160000.

The previous prime is 612131211047. The next prime is 612131211061. The reversal of 612131211060 is 60112131216.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 612131211060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612131211061) by changing a digit.

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, 19806820 + ... + 19837700.

It is an arithmetic number, because the mean of its divisors is an integer number (18036693864).

Almost surely, 2612131211060 is an apocalyptic number.

612131211060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612131211060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865761305472).

612131211060 is an abundant number, since it is smaller than the sum of its proper divisors (1119391399884).

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

612131211060 is a wasteful number, since it uses less digits than its factorization.

612131211060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34265 (or 34263 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 612131211060 its reverse (60112131216), we get a palindrome (672243342276).

The spelling of 612131211060 in words is "six hundred twelve billion, one hundred thirty-one million, two hundred eleven thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 3271 6060 6542 9813 13084 16355 19626 30881 32710 39252 49065 61762 65420 92643 98130 123524 154405 185286 196260 308810 330371 370572 463215 617620 660742 926430 991113 1321484 1651855 1852860 1982226 3118981 3303710 3964452 4955565 6237962 6607420 9356943 9911130 12475924 15594905 18713886 19822260 31189810 37427772 46784715 62379620 93569430 101011751 187138860 202023502 303035253 404047004 505058755 606070506 1010117510 1212141012 1515176265 2020235020 3030352530 6060705060 10202186851 20404373702 30606560553 40808747404 51010934255 61213121106 102021868510 122426242212 153032802765 204043737020 306065605530 612131211060