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10022131314020 = 2257233112463141
BaseRepresentation
bin1001000111010111010110…
…0100111010110101100100
31022111002212120012111021102
42101311311210322311210
52303200311104022040
633152034211535232
72053034520405560
oct221656544726544
938432776174242
1010022131314020
1132143a8939891
12115a4335ba518
135791102660c7
142691064d26a0
15125a72d5e515
hex91d7593ad64

10022131314020 has 48 divisors (see below), whose sum is σ = 25098902777088. Its totient is φ = 3286761075840.

The previous prime is 10022131313977. The next prime is 10022131314047. The reversal of 10022131314020 is 2041313122001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10022131313983 and 10022131314001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1556228351 + ... + 1556234790.

It is an arithmetic number, because the mean of its divisors is an integer number (522893807856).

Almost surely, 210022131314020 is an apocalyptic number.

10022131314020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022131314020 is an abundant number, since it is smaller than the sum of its proper divisors (15076771463068).

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

10022131314020 is a wasteful number, since it uses less digits than its factorization.

10022131314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112463180 (or 3112463178 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10022131314020 its reverse (2041313122001), we get a palindrome (12063444436021).

The spelling of 10022131314020 in words is "ten trillion, twenty-two billion, one hundred thirty-one million, three hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 3112463141 6224926282 12449852564 15562315705 21787241987 31124631410 43574483974 62249262820 71586652243 87148967948 108936209935 143173304486 217872419870 286346608972 357933261215 435744839740 501106565701 715866522430 1002213131402 1431733044860 2004426262804 2505532828505 5011065657010 10022131314020