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2313103233120 = 25356693171999
BaseRepresentation
bin100001101010001111101…
…100100101000001100000
322012010112010211002101120
4201222033230211001200
5300344213411424440
64530342553532240
7326054566034301
oct41521754450140
98163463732346
102313103233120
11811a88522069
12314365714080
1313a180c6ac54
147dd51d507a8
1540280bd0dd0
hex21a8fb25060

2313103233120 has 96 divisors (see below), whose sum is σ = 7286485248000. Its totient is φ = 616809745920.

The previous prime is 2313103233097. The next prime is 2313103233127. The reversal of 2313103233120 is 213323013132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313103233127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32090881 + ... + 32162879.

It is an arithmetic number, because the mean of its divisors is an integer number (75900888000).

Almost surely, 22313103233120 is an apocalyptic number.

2313103233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313103233120 is an abundant number, since it is smaller than the sum of its proper divisors (4973382014880).

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

2313103233120 is a wasteful number, since it uses less digits than its factorization.

2313103233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138948 (or 138940 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2313103233120 its reverse (213323013132), we get a palindrome (2526426246252).

The spelling of 2313103233120 in words is "two trillion, three hundred thirteen billion, one hundred three million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 66931 71999 133862 143998 200793 215997 267724 287996 334655 359995 401586 431994 535448 575992 669310 719990 803172 863988 1003965 1070896 1079985 1151984 1338620 1439980 1606344 1727976 2007930 2141792 2159970 2303968 2677240 2879960 3212688 3455952 4015860 4319940 5354480 5759920 6425376 6911904 8031720 8639880 10708960 11519840 16063440 17279760 32126880 34559520 4818965069 9637930138 14456895207 19275860276 24094825345 28913790414 38551720552 48189650690 57827580828 72284476035 77103441104 96379301380 115655161656 144568952070 154206882208 192758602760 231310323312 289137904140 385517205520 462620646624 578275808280 771034411040 1156551616560 2313103233120