Search a number
-
+
102511220 = 22577110313
BaseRepresentation
bin1100001110000…
…11001001110100
321010220002221212
412013003021310
5202220324340
614101100552
72353221350
oct607031164
9233802855
10102511220
1152957219
122a3b7758
1318312836
14d886460
158eeda65
hex61c3274

102511220 has 48 divisors (see below), whose sum is σ = 249516288. Its totient is φ = 34648320.

The previous prime is 102511219. The next prime is 102511229. The reversal of 102511220 is 22115201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102511195 and 102511204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102511229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4784 + ... + 15096.

It is an arithmetic number, because the mean of its divisors is an integer number (5198256).

Almost surely, 2102511220 is an apocalyptic number.

102511220 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 102511220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124758144).

102511220 is an abundant number, since it is smaller than the sum of its proper divisors (147005068).

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

102511220 is a wasteful number, since it uses less digits than its factorization.

102511220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10400 (or 10398 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 102511220 is about 10124.7824667990. The cubic root of 102511220 is about 468.0121566472.

Adding to 102511220 its reverse (22115201), we get a palindrome (124626421).

The spelling of 102511220 in words is "one hundred two million, five hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1420 1988 2485 4970 9940 10313 20626 41252 51565 72191 103130 144382 206260 288764 360955 721910 732223 1443820 1464446 2928892 3661115 5125561 7322230 10251122 14644460 20502244 25627805 51255610 102511220