Search a number
-
+
2301312233120 = 25519757010603
BaseRepresentation
bin100001011111010000111…
…001011110111010100000
322011000002101222020010212
4201133100321132322200
5300201041412424440
64521112551513252
7325156443141065
oct41372071367240
98130071866125
102301312233120
11807a8784026a
12312014988828
131390221c2084
147d553db8c6c
153ece0996465
hex217d0e5eea0

2301312233120 has 48 divisors (see below), whose sum is σ = 5723000166240. Its totient is φ = 872076213504.

The previous prime is 2301312233117. The next prime is 2301312233137. The reversal of 2301312233120 is 213322131032.

2301312233120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23013122331202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378502262 + ... + 378508341.

It is an arithmetic number, because the mean of its divisors is an integer number (119229170130).

Almost surely, 22301312233120 is an apocalyptic number.

2301312233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301312233120 is an abundant number, since it is smaller than the sum of its proper divisors (3421687933120).

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

2301312233120 is a wasteful number, since it uses less digits than its factorization.

2301312233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757010637 (or 757010629 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2301312233120 its reverse (213322131032), we get a palindrome (2514634364152).

The spelling of 2301312233120 in words is "two trillion, three hundred one billion, three hundred twelve million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 757010603 1514021206 3028042412 3785053015 6056084824 7570106030 12112169648 14383201457 15140212060 24224339296 28766402914 30280424120 57532805828 60560848240 71916007285 115065611656 121121696480 143832014570 230131223312 287664029140 460262446624 575328058280 1150656116560 2301312233120