Search a number
-
+
10102030120 = 23572132111879
BaseRepresentation
bin10010110100010000…
…01011111100101000
3222002000202022010201
421122020023330220
5131142104430440
64350225321544
7505223560600
oct113210137450
928060668121
1010102030120
114314372826
121b5b1962b4
13c4cb92020
146bb921c00
153e1d1419a
hex25a20bf28

10102030120 has 192 divisors, whose sum is σ = 28624579200. Its totient is φ = 3180280320.

The previous prime is 10102030087. The next prime is 10102030247. The reversal of 10102030120 is 2103020101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10102030097 and 10102030106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5375341 + ... + 5377219.

It is an arithmetic number, because the mean of its divisors is an integer number (149086350).

Almost surely, 210102030120 is an apocalyptic number.

10102030120 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 10102030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14312289600).

10102030120 is an abundant number, since it is smaller than the sum of its proper divisors (18522549080).

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

10102030120 is a wasteful number, since it uses less digits than its factorization.

10102030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10102030120 its reverse (2103020101), we get a palindrome (12205050221).

The spelling of 10102030120 in words is "ten billion, one hundred two million, thirty thousand, one hundred twenty".