Search a number
-
+
10000112211320 = 23572111519330529
BaseRepresentation
bin1001000110000101010100…
…1000101101010101111000
31022102000001000101011211012
42101201111020231111320
52302320212211230240
633133553234053052
72051325050206100
oct221412510552570
938360030334735
1010000112211320
113206029706050
12115610941a188
1357701148625a
14268017dbc200
151251d4c0ab65
hex9185522d578

10000112211320 has 192 divisors, whose sum is σ = 28556010799200. Its totient is φ = 3116610846720.

The previous prime is 10000112211301. The next prime is 10000112211329. The reversal of 10000112211320 is 2311221100001.

It is a super-2 number, since 2×100001122113202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10000112211295 and 10000112211304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000112211329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327545816 + ... + 327576344.

Almost surely, 210000112211320 is an apocalyptic number.

10000112211320 is a gapful number since it is divisible by the number (10) 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 10000112211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14278005399600).

10000112211320 is an abundant number, since it is smaller than the sum of its proper divisors (18555898587880).

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

10000112211320 is a wasteful number, since it uses less digits than its factorization.

10000112211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45758 (or 45747 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10000112211320 its reverse (2311221100001), we get a palindrome (12311333311321).

It can be divided in two parts, 100001 and 12211320, that added together give a palindrome (12311321).

The spelling of 10000112211320 in words is "ten trillion, one hundred twelve million, two hundred eleven thousand, three hundred twenty".