Search a number
-
+
120310220112 = 24319821160681
BaseRepresentation
bin111000000001100001…
…1000100010101010000
3102111112121220102111020
41300003003010111100
53432343404020422
6131134133315440
711456253666135
oct1600303042520
9374477812436
10120310220112
1147028a8a085
121b397795b80
13b464552c74
145b7461a58c
1531e233295c
hex1c030c4550

120310220112 has 80 divisors (see below), whose sum is σ = 327559897920. Its totient is φ = 37946188800.

The previous prime is 120310220089. The next prime is 120310220113. The reversal of 120310220112 is 211022013021.

It is a junction number, because it is equal to n+sod(n) for n = 120310220091 and 120310220100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120310220113) 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, 668412 + ... + 829092.

It is an arithmetic number, because the mean of its divisors is an integer number (4094498724).

Almost surely, 2120310220112 is an apocalyptic number.

120310220112 is a gapful number since it is divisible by the number (12) 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 120310220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163779948960).

120310220112 is an abundant number, since it is smaller than the sum of its proper divisors (207249677808).

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

120310220112 is a wasteful number, since it uses less digits than its factorization.

120310220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161532 (or 161526 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120310220112 its reverse (211022013021), we get a palindrome (331332233133).

The spelling of 120310220112 in words is "one hundred twenty billion, three hundred ten million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 821 912 1642 2463 3284 4926 6568 9852 13136 15599 19704 31198 39408 46797 62396 93594 124792 160681 187188 249584 321362 374376 482043 642724 748752 964086 1285448 1928172 2570896 3052939 3856344 6105878 7712688 9158817 12211756 18317634 24423512 36635268 48847024 73270536 131919101 146541072 263838202 395757303 527676404 791514606 1055352808 1583029212 2110705616 2506462919 3166058424 5012925838 6332116848 7519388757 10025851676 15038777514 20051703352 30077555028 40103406704 60155110056 120310220112