Search a number
-
+
10022031420324 = 223721129389137353
BaseRepresentation
bin1001000111010110111110…
…0111110110101110100100
31022111002121121020100212220
42101311233213312232210
52303200110020422244
633152020242512340
72053032165335400
oct221655747665644
938432547210786
1010022031420324
113214357510210
12115a4060656b0
135790c565bb01
142690d712c100
15125a691cb319
hex91d6f9f6ba4

10022031420324 has 288 divisors, whose sum is σ = 30778064553600. Its totient is φ = 2506882775040.

The previous prime is 10022031420251. The next prime is 10022031420367. The reversal of 10022031420324 is 42302413022001.

It is a happy number.

It is a super-2 number, since 2×100220314203242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10022031420294 and 10022031420303.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72896832 + ... + 73034184.

It is an arithmetic number, because the mean of its divisors is an integer number (106868279700).

Almost surely, 210022031420324 is an apocalyptic number.

10022031420324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022031420324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15389032276800).

10022031420324 is an abundant number, since it is smaller than the sum of its proper divisors (20756033133276).

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

10022031420324 is a wasteful number, since it uses less digits than its factorization.

10022031420324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137803 (or 137794 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10022031420324 its reverse (42302413022001), we get a palindrome (52324444442325).

The spelling of 10022031420324 in words is "ten trillion, twenty-two billion, thirty-one million, four hundred twenty thousand, three hundred twenty-four".