Search a number
-
+
10022550531336 = 233271931331102001
BaseRepresentation
bin1001000111011000111010…
…0100000110110100001000
31022111010221210000221022200
42101312032210012310020
52303202140414000321
633152143545120200
72053051100606520
oct221661644066410
938433853027280
1010022550531336
1132145a353aa82
12115a52ba89060
135791790757a5
1426914605a680
15125a99a6bd26
hex91d8e906d08

10022550531336 has 384 divisors, whose sum is σ = 33810480537600. Its totient is φ = 2617401600000.

The previous prime is 10022550531311. The next prime is 10022550531341. The reversal of 10022550531336 is 63313505522001.

10022550531336 is a `hidden beast` number, since 1 + 0 + 0 + 22 + 550 + 53 + 1 + 3 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10022550531336.

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, 98208336 + ... + 98310336.

It is an arithmetic number, because the mean of its divisors is an integer number (88048126400).

Almost surely, 210022550531336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022550531336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16905240268800).

10022550531336 is an abundant number, since it is smaller than the sum of its proper divisors (23787930006264).

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

10022550531336 is a wasteful number, since it uses less digits than its factorization.

10022550531336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102401 (or 102394 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 10022550531336 in words is "ten trillion, twenty-two billion, five hundred fifty million, five hundred thirty-one thousand, three hundred thirty-six".