Search a number
-
+
102203400 = 233521313103
BaseRepresentation
bin1100001011110…
…00000000001000
321010022110201010
412011320000020
5202131002100
614050323520
72350500045
oct605700010
9233273633
10102203400
1152766a22
122a2895a0
13182356b0
14d8061cc
158e8c750
hex6178008

102203400 has 96 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 25155840.

The previous prime is 102203393. The next prime is 102203401. The reversal of 102203400 is 4302201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102203401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1249 + ... + 14351.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2102203400 is an apocalyptic number.

102203400 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 102203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

102203400 is an abundant number, since it is smaller than the sum of its proper divisors (239024760).

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

102203400 is a wasteful number, since it uses less digits than its factorization.

102203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13135 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 102203400 is about 10109.5697237815. The cubic root of 102203400 is about 467.5432390636.

Adding to 102203400 its reverse (4302201), we get a palindrome (106505601).

The spelling of 102203400 in words is "one hundred two million, two hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 13103 26206 39309 52412 65515 78618 104824 131030 157236 170339 196545 262060 314472 327575 340678 393090 511017 524120 655150 681356 786180 851695 982725 1022034 1310300 1362712 1572360 1703390 1965450 2044068 2555085 2620600 3406780 3930900 4088136 4258475 5110170 6813560 7861800 8516950 10220340 12775425 17033900 20440680 25550850 34067800 51101700 102203400