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102130212 = 223233773137
BaseRepresentation
bin1100001011001…
…10001000100100
321010011202022110
412011212020210
5202121131322
614045001020
72350043502
oct605461044
9233152273
10102130212
1152716a38
122a253170
131820b2a2
14d7c7672
158e75c0c
hex6166224

102130212 has 96 divisors (see below), whose sum is σ = 260773632. Its totient is φ = 31021056.

The previous prime is 102130211. The next prime is 102130219. The reversal of 102130212 is 212031201.

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

It is not an unprimeable number, because it can be changed into a prime (102130211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745408 + ... + 745544.

It is an arithmetic number, because the mean of its divisors is an integer number (2716392).

Almost surely, 2102130212 is an apocalyptic number.

102130212 is a gapful number since it is divisible by the number (12) 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 102130212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130386816).

102130212 is an abundant number, since it is smaller than the sum of its proper divisors (158643420).

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

102130212 is a wasteful number, since it uses less digits than its factorization.

102130212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

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

The square root of 102130212 is about 10105.9493369005. The cubic root of 102130212 is about 467.4316096207.

Adding to 102130212 its reverse (212031201), we get a palindrome (314161413).

The spelling of 102130212 in words is "one hundred two million, one hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 37 46 69 73 74 92 111 137 138 146 148 219 222 274 276 292 411 438 444 548 822 851 876 1644 1679 1702 2553 2701 3151 3358 3404 5037 5069 5106 5402 6302 6716 8103 9453 10001 10074 10138 10212 10804 12604 15207 16206 18906 20002 20148 20276 30003 30414 32412 37812 40004 60006 60828 62123 116587 120012 124246 186369 230023 233174 248492 349761 370037 372738 460046 466348 690069 699522 740074 745476 920092 1110111 1380138 1399044 1480148 2220222 2760276 4440444 8510851 17021702 25532553 34043404 51065106 102130212