Search a number
-
+
10121000020 = 2251321383081
BaseRepresentation
bin10010110110100001…
…00011010001010100
3222010100110001221121
421123100203101110
5131211434000040
64352144053324
7505544036455
oct113320432124
928110401847
1010121000020
11432404a12a
121b65604244
13c53aa4611
146c025d12c
153e380ec4a
hex25b423454

10121000020 has 24 divisors (see below), whose sum is σ = 21270244968. Its totient is φ = 4045324800.

The previous prime is 10120999991. The next prime is 10121000023. The reversal of 10121000020 is 2000012101.

It can be written as a sum of positive squares in 4 ways, for example, as 3527884816 + 6593115204 = 59396^2 + 81198^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10120999967 and 10121000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121000023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165121 + ... + 217960.

It is an arithmetic number, because the mean of its divisors is an integer number (886260207).

Almost surely, 210121000020 is an apocalyptic number.

10121000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121000020 is an abundant number, since it is smaller than the sum of its proper divisors (11149244948).

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

10121000020 is a wasteful number, since it uses less digits than its factorization.

10121000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384411 (or 384409 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10121000020 its reverse (2000012101), we get a palindrome (12121012121).

The spelling of 10121000020 in words is "ten billion, one hundred twenty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 1321 2642 5284 6605 13210 26420 383081 766162 1532324 1915405 3830810 7661620 506050001 1012100002 2024200004 2530250005 5060500010 10121000020