Search a number
-
+
10220101120 = 29529247101
BaseRepresentation
bin10011000010010101…
…00101111000000000
3222101020220221002201
421201022211320000
5131412321213440
64410044122544
7511156266115
oct114112457000
928336827081
1010220101120
114374a87269
121b92836454
13c6b491c18
146cd49890c
153ec38819a
hex2612a5e00

10220101120 has 240 divisors, whose sum is σ = 26174985408. Its totient is φ = 3824844800.

The previous prime is 10220101093. The next prime is 10220101163. The reversal of 10220101120 is 2110102201.

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 = 10220101097 and 10220101106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101189070 + ... + 101189170.

Almost surely, 210220101120 is an apocalyptic number.

10220101120 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 10220101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13087492704).

10220101120 is an abundant number, since it is smaller than the sum of its proper divisors (15954884288).

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

10220101120 is an equidigital number, since it uses as much as digits as its factorization.

10220101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10220101120 its reverse (2110102201), we get a palindrome (12330203321).

The spelling of 10220101120 in words is "ten billion, two hundred twenty million, one hundred one thousand, one hundred twenty".