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10122123313330 = 257220657394517
BaseRepresentation
bin1001001101001011110110…
…0100001000000010110010
31022211122222011210100122021
42103102331210020002302
52311320102032011310
633310012251302054
72063204436362500
oct223227544100262
938748864710567
1010122123313330
11325284a7aa946
12117589a74a92a
13585687203cc2
1426dcb046d670
151284765185da
hex934bd9080b2

10122123313330 has 24 divisors (see below), whose sum is σ = 21194486775468. Its totient is φ = 3470442278688.

The previous prime is 10122123313217. The next prime is 10122123313381. The reversal of 10122123313330 is 3331332122101.

It can be written as a sum of positive squares in 2 ways, for example, as 8968761154521 + 1153362158809 = 2994789^2 + 1073947^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10122123313295 and 10122123313304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10328696769 + ... + 10328697748.

Almost surely, 210122123313330 is an apocalyptic number.

10122123313330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122123313330 is an abundant number, since it is smaller than the sum of its proper divisors (11072363462138).

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

10122123313330 is a wasteful number, since it uses less digits than its factorization.

10122123313330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20657394538 (or 20657394531 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 10122123313330 its reverse (3331332122101), we get a palindrome (13453455435431).

The spelling of 10122123313330 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-three million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 20657394517 41314789034 103286972585 144601761619 206573945170 289203523238 723008808095 1012212331333 1446017616190 2024424662666 5061061656665 10122123313330