Search a number
-
+
102312210 = 235711133407
BaseRepresentation
bin1100001100100…
…10100100010010
321010111222222010
412012102210102
5202142442320
614052523350
72351432220
oct606224422
9233458863
10102312210
1152830750
122a320556
1318273090
14d833b10
158eaeae0
hex6192912

102312210 has 128 divisors (see below), whose sum is σ = 329785344. Its totient is φ = 19618560.

The previous prime is 102312209. The next prime is 102312227. The reversal of 102312210 is 12213201.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28327 + ... + 31733.

It is an arithmetic number, because the mean of its divisors is an integer number (2576448).

Almost surely, 2102312210 is an apocalyptic number.

102312210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102312210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164892672).

102312210 is an abundant number, since it is smaller than the sum of its proper divisors (227473134).

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

102312210 is a wasteful number, since it uses less digits than its factorization.

102312210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102312210 is about 10114.9498268652. The cubic root of 102312210 is about 467.7091022232.

Adding to 102312210 its reverse (12213201), we get a palindrome (114525411).

Subtracting from 102312210 its reverse (12213201), we obtain a palindrome (90099009).

The spelling of 102312210 in words is "one hundred two million, three hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 3407 4290 5005 6006 6814 10010 10221 15015 17035 20442 23849 30030 34070 37477 44291 47698 51105 71547 74954 88582 102210 112431 119245 132873 143094 187385 221455 224862 238490 262339 265746 310037 357735 374770 442910 487201 524678 562155 620074 664365 715470 787017 930111 974402 1124310 1311695 1328730 1461603 1550185 1574034 1860222 2436005 2623390 2923206 3100370 3410407 3935085 4650555 4872010 6820814 7308015 7870170 9301110 10231221 14616030 17052035 20462442 34104070 51156105 102312210