Search a number
-
+
2301314031120 = 243513737600651
BaseRepresentation
bin100001011111010001000…
…000010101111000010000
322011000002112100120112110
4201133101000111320100
5300201042342443440
64521113054225320
7325156464340056
oct41372100257020
98130075316473
102301314031120
11807a88859115
123120154b5240
131390226a1590
147d5543261d6
153ece0bee080
hex217d1015e10

2301314031120 has 80 divisors (see below), whose sum is σ = 7682848391232. Its totient is φ = 566477299200.

The previous prime is 2301314031073. The next prime is 2301314031127. The reversal of 2301314031120 is 211304131032.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2301314031127) 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, 368797206 + ... + 368803445.

Almost surely, 22301314031120 is an apocalyptic number.

2301314031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301314031120 is an abundant number, since it is smaller than the sum of its proper divisors (5381534360112).

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

2301314031120 is a wasteful number, since it uses less digits than its factorization.

2301314031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737600680 (or 737600674 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2301314031120 its reverse (211304131032), we get a palindrome (2512618162152).

The spelling of 2301314031120 in words is "two trillion, three hundred one billion, three hundred fourteen million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 737600651 1475201302 2212801953 2950402604 3688003255 4425603906 5900805208 7376006510 8851207812 9588808463 11064009765 11801610416 14752013020 17702415624 19177616926 22128019530 28766425389 29504026040 35404831248 38355233852 44256039060 47944042315 57532850778 59008052080 76710467704 88512078120 95888084630 115065701556 143832126945 153420935408 177024156240 191776169260 230131403112 287664253890 383552338520 460262806224 575328507780 767104677040 1150657015560 2301314031120