Search a number
-
+
10120100101020 = 22345713431596467
BaseRepresentation
bin1001001101000100010011…
…1110001011101110011100
31022211110202011202112010000
42103101010332023232130
52311301431111213040
633305035415014300
72063103341352360
oct223210476135634
938743664675100
1010120100101020
113251a01749558
12117541506a390
13585423cc0360
1426db5b8912a0
151283a8abd130
hex93444f8bb9c

10120100101020 has 480 divisors, whose sum is σ = 39982097852928. Its totient is φ = 2085572095488.

The previous prime is 10120100101019. The next prime is 10120100101073. The reversal of 10120100101020 is 2010100102101.

It is a happy number.

10120100101020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10120100100993 and 10120100101011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5540827 + ... + 7137293.

Almost surely, 210120100101020 is an apocalyptic number.

10120100101020 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 10120100101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19991048926464).

10120100101020 is an abundant number, since it is smaller than the sum of its proper divisors (29861997751908).

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

10120100101020 is a wasteful number, since it uses less digits than its factorization.

10120100101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596551 (or 1596540 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10120100101020 its reverse (2010100102101), we get a palindrome (12130200203121).

The spelling of 10120100101020 in words is "ten trillion, one hundred twenty billion, one hundred million, one hundred one thousand, twenty".