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2131110312 = 2333714991601
BaseRepresentation
bin111111100000110…
…0010100110101000
312111112001121202120
41333001202212220
513331031012222
6551245031240
7103545065412
oct17701424650
95445047676
102131110312
119a3a577a1
124b5855520
1327c691326
141630679b2
15c716015c
hex7f0629a8

2131110312 has 64 divisors (see below), whose sum is σ = 5478840000. Its totient is φ = 690278400.

The previous prime is 2131110299. The next prime is 2131110313. The reversal of 2131110312 is 2130111312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2131110291 and 2131110300.

It is not an unprimeable number, because it can be changed into a prime (2131110313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330312 + ... + 1331912.

It is an arithmetic number, because the mean of its divisors is an integer number (85606875).

Almost surely, 22131110312 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 2131110312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739420000).

2131110312 is an abundant number, since it is smaller than the sum of its proper divisors (3347729688).

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

2131110312 is a wasteful number, since it uses less digits than its factorization.

2131110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2131110312 is about 46163.9503508961. The cubic root of 2131110312 is about 1286.8718775068.

Adding to 2131110312 its reverse (2130111312), we get a palindrome (4261221624).

The spelling of 2131110312 in words is "two billion, one hundred thirty-one million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1499 1601 2998 3202 4497 4803 5996 6404 8994 9606 11992 12808 17988 19212 35976 38424 55463 59237 110926 118474 166389 177711 221852 236948 332778 355422 443704 473896 665556 710844 1331112 1421688 2399899 4799798 7199697 9599596 14399394 19199192 28798788 57597576 88796263 177592526 266388789 355185052 532777578 710370104 1065555156 2131110312