Search a number
-
+
102213104 = 2472339679
BaseRepresentation
bin1100001011110…
…10010111110000
321010022222000112
412011322113300
5202131304404
614050440452
72350540250
oct605722760
9233288015
10102213104
1152773244
122a293128
1318239c36
14d809960
158e9056e
hex617a5f0

102213104 has 40 divisors (see below), whose sum is σ = 236175360. Its totient is φ = 41899968.

The previous prime is 102213101. The next prime is 102213113. The reversal of 102213104 is 401312201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213101) 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, 17264 + ... + 22415.

It is an arithmetic number, because the mean of its divisors is an integer number (5904384).

Almost surely, 2102213104 is an apocalyptic number.

102213104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102213104 is an abundant number, since it is smaller than the sum of its proper divisors (133962256).

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

102213104 is a wasteful number, since it uses less digits than its factorization.

102213104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39717 (or 39711 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 102213104 is about 10110.0496536862. The cubic root of 102213104 is about 467.5580360143.

Adding to 102213104 its reverse (401312201), we get a palindrome (503525305).

The spelling of 102213104 in words is "one hundred two million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 39679 79358 158716 277753 317432 555506 634864 912617 1111012 1825234 2222024 3650468 4444048 6388319 7300936 12776638 14601872 25553276 51106552 102213104