Search a number
-
+
122154140320 = 2551922114857
BaseRepresentation
bin111000111000011110…
…1000100001010100000
3102200022010120021111021
41301300331010022200
54000132424442240
6132041123055224
711553044026612
oct1616075041240
9380263507437
10122154140320
1147894911683
121b811211514
13b699580004
145cab486db2
15329e16454a
hex1c70f442a0

122154140320 has 72 divisors (see below), whose sum is σ = 304577619444. Its totient is φ = 46289968128.

The previous prime is 122154140239. The next prime is 122154140327. The reversal of 122154140320 is 23041451221.

It can be written as a sum of positive squares in 2 ways, for example, as 121742375056 + 411765264 = 348916^2 + 20292^2 .

It is not an unprimeable number, because it can be changed into a prime (122154140327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 999669 + ... + 1115188.

Almost surely, 2122154140320 is an apocalyptic number.

122154140320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122154140320 is an abundant number, since it is smaller than the sum of its proper divisors (182423479124).

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

122154140320 is a wasteful number, since it uses less digits than its factorization.

122154140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114910 (or 2114883 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 122154140320 its reverse (23041451221), we get a palindrome (145195591541).

The spelling of 122154140320 in words is "one hundred twenty-two billion, one hundred fifty-four million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 361 380 608 722 760 1444 1520 1805 2888 3040 3610 5776 7220 11552 14440 28880 57760 2114857 4229714 8459428 10574285 16918856 21148570 33837712 40182283 42297140 67675424 80364566 84594280 160729132 169188560 200911415 321458264 338377120 401822830 642916528 763463377 803645660 1285833056 1526926754 1607291320 3053853508 3214582640 3817316885 6107707016 6429165280 7634633770 12215414032 15269267540 24430828064 30538535080 61077070160 122154140320