Search a number
-
+
10022100120 = 2332527839167
BaseRepresentation
bin10010101010101110…
…10001110010011000
3221212110100102210100
421111113101302120
5131011124200440
64334252215400
7503233305534
oct112527216230
927773312710
1010022100120
11428323a17a
121b3846a560
13c39457776
146b1076bc4
153d9cc6230
hex2555d1c98

10022100120 has 48 divisors (see below), whose sum is σ = 32571826560. Its totient is φ = 2672559936.

The previous prime is 10022100091. The next prime is 10022100173. The reversal of 10022100120 is 2100122001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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, 13919224 + ... + 13919943.

It is an arithmetic number, because the mean of its divisors is an integer number (678579720).

Almost surely, 210022100120 is an apocalyptic number.

10022100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022100120 is an abundant number, since it is smaller than the sum of its proper divisors (22549726440).

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

10022100120 is a wasteful number, since it uses less digits than its factorization.

10022100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27839184 (or 27839177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10022100120 its reverse (2100122001), we get a palindrome (12122222121).

The spelling of 10022100120 in words is "ten billion, twenty-two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 27839167 55678334 83517501 111356668 139195835 167035002 222713336 250552503 278391670 334070004 417587505 501105006 556783340 668140008 835175010 1002210012 1113566680 1252762515 1670350020 2004420024 2505525030 3340700040 5011050060 10022100120